А
train moves with
uniform velocity of 36km/h
for 1os, calculate
total distance travelled
travelled​

Answers

Answer 1

Explanation:

Distance is the product of speed and time:

Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds

Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds = 180km3600seconds×seconds = 1803600 km

Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds = 180km3600seconds×seconds = 1803600 km= 0.05 km

Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds = 180km3600seconds×seconds = 1803600 km= 0.05 km= 20 m

Hope u this answer cleared ur doubt


Related Questions

(03.07 MC)
A 660 kg car is travelling around a circular track of radius 55.0 m at 11.5 m/s.
Calculate the force and its direction that provides the centripetal force acting on the car to keep it
in the circular path. (3 points)
a) 24 N toward the center of the circle
b) 24 N along the line tangent to the circle
c) 1.587 E3 N along the line tangent to the circle
d) 1.587 E3 N toward the center of the circle

Answers

Answer: D) 1.587 E3 N toward the center of the circle

This is the same as saying 1.587*10^3 newtons, or we can say 1587 newtons

=================================================

Work Shown:

m = mass = 660 kilograms

v = velocity = 11.5 meters per second

r = radius of circle = 55.0 meters

-------------

F = centripetal force = inward pulling force toward center of circle

F = (m*v^2)/r

F = (660*11.5^2)/55

F = 1587

F = 1.587 * 10^3

F = 1.587 E 3

The "E 3" notation is what many calculators display scientific notation to be

The units for the force here are in newtons.

The force is pulling on the object toward the center of the circle, which helps keep the car on the circular path, rather than it going off on a tangent.

A 1000-kg car traveling with a speed of 35 m/s skids to a stop in 25m. Determine the average force applied to the breaks. If it took 3.2s to stop, who much power was generated by the breaks?

Answers

Answer:

1. 24500 N.

2. 191406.25 watt

Explanation:

From the question given above, the following data were obtained:

Mass (m) of car = 1000 Kg

Initial velocity (u) = 35 m/s

Distance (s) = 25 m

Final velocity (v) = 0 m/s

Time (t) = 3.2 s

Force (F) =?

Power (P) =?

Next, we shall determine the acceleration of the car. This can be obtained as follow:

Initial velocity (u) = 35 m/s

Distance (s) = 25 m

Final velocity (v) = 0 m/s

Acceleration (a) =?

v² = u² + 2as

0 = 35² + (2 × a × 25)

0 = 1225 + 50a

Collect like terms

0 – 1225 = 50a

– 1225 = 50a

Divide both side by 50

a = – 1225 / 50

a = –24.5 m/s²

1. Determination of the force.

Mass (m) of car = 1000 Kg

Acceleration (a) = –24.5 m/s²

Force (F) =?

F = m × a

F = 1000 × –24.5

F = –24500 N

The negative sign indicate that the force is in opposite direction to the motion of the car.

2. Determination of the power

Force (F) = 24500 N

Distance (s) = 25 m

Time (t) = 3.2 s

Power (P) =?

Next, we shall determine the energy.

Energy = force × distance

Energy = 24500 × 25

Energy = 612500 J

Finally, we shall determine the power. This is illustrated below:

Power = Energy /time

Power = 612500 /3.2

Power = 191406.25 watt

a train moving at a speed of 15 m/s is accelerated to 45 m/s over a 12 s period. what is the acceleration? ​

Answers

Answer:

2.5 m/s²

Explanation:

Given:

v₀ = 15 m/s

v = 45 m/s

t = 12 s

Find: a

a = (v − v₀) / t

a = (45 m/s − 15 m/s) / 12 s

a = 2.5 m/s²

What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to 3 significant
figures
0 2.790 J
5,580 J
025,100 J
050,200 J

Answers

Answer:

I think C

Explanation:

kinetic energy formula: 1/2mv^2

1/2(620kg)(9m/s)^2

1/2(620kg)(81m/s)

1/2(50220)

KE = 25110 J

plz help, and no silly answers cuz i will report you


How much force (newtons) is required to accelerate a 2.55 kg remote-controlled toy car at a rate of 6.00 m/s2

Answers

Answer:

15.3 N

Explanation:

Force = mass x acceleration

= 2.55 kg x 6.00 m/s^2

= 15.3 kgm/s^2 = 15.3 N

The required force to accelerate a 2.55 kg remote-controlled toy car at a rate of 6.00 m/s^2 be 15.3 N.

What is force?

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given parameters:

Mass of the remote-controlled toy car : m = 2.55 kg.

Acceleration of  the remote-controlled toy car :a =  6.00 m/s^2

Now according to Newton's 2nd law of motion,

Force = mass x acceleration

= 2.55 kg x 6.00 m/s^2

= 15.3 kgm/s^2

= 15.3 N

Hence, required force is 15.3 N.

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Which statement describes the path of electrons from a battery to a circuit?
O A. Electrons move away from the positive end of a battery and then
through the circuit toward the negative end of the battery.
B. Electrons move through the battery from the negative terminal to
the positive terminal and then into the circuit.
C. Electrons move through the battery from the positive terminal to
the negative terminal and then into the circuit.
D. Electrons move away from the negative end of a battery and then
through the circuit toward the positive end of the battery.

Answers

Answer:D

Explanation:

C is wrong

Electrons move away from the negative end of a battery and then through the circuit toward the positive end of the battery. So, the correct option is (D).

What is Circuit?

An electronic circuit is made up of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow.

A circuit is a complete circular path through which electricity flows where the circuit consists of a current source, a conductor, and a load. The term circuit can be used in a general sense to refer to a fixed path that electricity, data, or signals can travel.

In the electric circuit, electrons move away from the negative end of a battery and then through the circuit toward the positive end of the battery.

Thus, electrons move away from the negative end of a battery and then through the circuit toward the positive end of the battery. So, the correct option is (D).

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A sound wave generated by a musical note has the characteristics presented
in the table. What is the missing value?

Answers

Answer:

The answer is A. 6.3

Explanation:

I took AP EX quiz.

The missing value of the wavelength of air for the given values of wave speed and the frequency is 6.3.

What is wavelength?

The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.

Wavelength λ = v/f

where v is the speed of wave = 346 m/s

Cordless phones use a frequency of 55Hz , then the wavelength will be

λ = v/f

λ = 346 m/s / 55 Hz

λ = 6.3 m

Thus, the missing value of wavelengths of the air is 6.3.

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A snail crawling at 5 mm/s travels 2 m along a wall. How long does this take?

Answers

Answer:

0.4

Explanation:

time is disance divided by speed.

A group of athletes are trying to turn a large wheel and axle to move a stone. What can they do to move the wheel with less effort?

Answers

Use a lever, i think......

Assuming the speed of sound is 340 m/s, what is the most likely speed of the jet shown below?

A. 200 m/s
B. 500 m/s
C. 100 m/s
D. 340 m/s

Answers

Answer:

I am assuming C.

Explanation:

The speed of the jet will be 340.0 m/sec. It is found as the ratio of speed of sound and the refractive index.

What is an index of refraction?

The refractive index of a substance also known as the refraction index or index of refraction is a dimensionless quantity that specifies how quickly light passes through it in optics.

The given data in the problem is;

c is the speed of light=340 m/sec

n is the index of refraction of air =1.00273

V is the speed of the jet

The index of refraction is found as;

[tex]\rm n = \frac{C}{v} \\\\ \rm v = \frac{334}{1.00273} \\\\ v=33.07 \ m/sec[/tex]

The speed of the jet will be 340.0 m/sec.

Hence, option D is correct.

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If the strength of the magnetic field at B is 6 units, the strength of the magnetic field at A is _____.


A. 1.5 units

B. 0.75 units

C. 24 units

D. 10.6 units

Answers

Answer:

I think its c but am not quite sure

Explanation:

pls mark me as brainlist

Answer:

24 units

Explanation:

hope this helps :)

One of the goals of psychology is to predict future behavior or mental processes. Which of the following scenarios best illustrates this goal?
A.
The psychologist measures Michael’s heart rate and bodily functions to better describe his behavior.
B.
The psychologist helps Michael develop strategies to manage his anxiety levels so he can focus on the game.
C.
The psychologist tells Michael that his basketball performance will improve when his anxiety levels are moderated.
D.
After careful research, the psychologist explains that Michael’s intense feelings of anxiety are hindering his basketball performance.

Answers

The statement 'the psychologist tells Michael that his basketball performance will improve when his anxiety levels are moderated' best illustrates an objective of psychology (Option C).

Psychology is a discipline that studies human behavior through the mind.

The major objectives of psychology include describing, explaining, predicting, and modifying specific behaviors.

Anxiety is one of the main focuses in physiology and there are many psychological treatments aimed at modifying this particular behavior.

In conclusion, the statement 'the psychologist tells Michael that his basketball performance will improve when his anxiety levels are moderated' best illustrates an objective of psychology (Option C).

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Answer:

Explanation:

C

relationship between voltage, resistance and current in a circuit

Answers

Answer:

V = I×R

where -

V = potential difference across

I = current flowing in the circuit

R = Equivalent Resistance in the circuit

Answer:

Answer:

V = I×R

where -

V = potential difference across

I = current flowing in the circuit

R = Equivalent Resistance in the circuit

Explanation:

After a teaspoon of sugar has been stirred into a glass of water, no solid sugar can be seen. What happened to the sugar?
A.
The sugar disappeared.
B.
The sugar dissolved.
C.
The sugar melted.
D.
The sugar evaporated.

Answers

Answer:

B. The sugar dissolved

Explanation:

Answer:

B. The sugar dissolved

Explanation:

Sugar dissolves in water. It can't disappear, or evaporate because it's a solid.

For each of the variables, make a hypothesis.

1. Egg Size: As I break. the size of the egg, it will be likely to the drop height, the egg will be
2. Drop height: As I likely to break. 3. Landing Surface: (write your own statement here, think about the surface and what might be important about it that would increase or decrease the likelihood that the egg will break)

There is a data table on the next page. Be sure to conduct your trials in an organized manner to allow for the data table to be of maximum use to you in answering the questions.​

Answers

Answer:

Hope this helps :)

Explanation:

Let's start b writing down coordinates of all points:

A(0,0,0)

B(0,5,0)

C(3,5,0)

D(3,0,0)

E(3,0,4)

F(0,0,4)

G(0,5,4)

H(3,5,4)

a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.

A(0,0,0)

Reflecting

A(0,0,0)

B(0,5,0)

Reflecting

B(0,-5,0)

C(3,5,0)

Reflecting

C(3,-5,0)

D(3,0,0)

Reflecting

D(3,0,0)

b.)

A(0,0,0)

Moving

A(-2,-3,1)

B(0,-5,0)

Moving

B(-2,-8,1)

C(3,-5,0)

Moving

C(1,-8,1)

D(3,0,0)

Moving

D(1,-3,1)

Pregunta 1 (1 punto)
(05.02 LC)

In a battery (voltaic cell), in which direction do electrons flow? (1 point)

a
From the negative to the positive terminal

b
From the positive to the negative terminal

c
From the copper plate to the zinc plate

d
From the top of the plates to the bottom

Pregunta 2 (1 punto)
(05.02 LC)

Which statement best describes why some materials are not magnetic? (1 point)

a
Magnetic materials have many spinning unpaired electrons

b
Paired electrons spin in opposite directions, cancelling their magnetic fields

c
Electrons of magnetic materials are loosely held by atomic nuclei

d
Magnetic materials move positively charged particles to other atoms

Pregunta 3 (1 punto)
(05.02 LC)

If Keisha's thumb points in the direction of an electrical current, what will her fingers curled around the wire represent? (1 point)

a
The opposing electric current

b
The opposing magnetic current

c
The direction of the electric field

d
The direction of the magnetic field

Pregunta 4 (1 punto)
(05.02 MC)

A light bulb provides a resistance of 20 Ω to the 30 A current that runs through it. Determine the voltage of the battery in the flashlight. (1 point)

a
0.7 V

b
2 V

c
51 V

d
600 V

Pregunta 5 (1 punto)
(05.02 MC)

Alyssa is taking a walk on a nature path near her neighborhood. She carries a compass with her. As she walks along the path, she notices the needle on the compass is occasionally deflected from its original position. If she has not changed the direction she is walking, what is most likely causing the occasional shift in the needle? (1 point)

a
Changes in pressure

b
Changes in temperature

c
Sources of electrical current

d
Changes to Earth's magnetic field

Pregunta 6 (1 punto)
(05.02 MC)

Quickly spinning the handle of a hand generator, Kevan is able to light three bulbs in a circuit. When he uses two batteries instead of the generator, the bulbs are very dim. Which statement best explains why the batteries are not able to power all three light bulbs like the generator? (1 point)

a
The batteries do not make the charges move as much

b
The generator creates less voltage

c
The batteries have higher amperage

d
The generator current is more steady

Pregunta 7 (1 punto)
(05.02 MC)

A construction worker uses an electrical device to attract fallen nails and sharp objects from a construction site. What is causing the attraction of the metal objects? (1 point)

a
An electrical wave oscillating perpendicular to the electrical device.

b
An electrical charge radiating perpendicular to the wire

c
A magnetic wave radiating perpendicular to an electrical device

d
A magnetic wave and electrical current moving in opposite directions

Pregunta 8 (1 punto)
(05.02 MC)

A tablet draws 10.0 A when plugged into a 150-V line. If another tablet has twice as much resistance, what would the current of the second tablet be if plugged into the same line? (1 point)

a
0.60 A

b
1.5 A

c
5 A

d
15 A

Answers

B the answer is B Hope this helps

In a battery (voltaic cell), the electrons flow from the negative to the positive terminal.

What is meant by electric current ?

Electric current is defined as the rate of flow of electric charge through any cross-section in an electric circuit.

Here,

1) In a battery (voltaic cell), the electrons flow from the negative to the positive terminal.

2) Some materials are not magnetic because, they have equal number of electrons that spin in opposite direction. Thus, the paired electrons spin in opposite directions, cancelling their magnetic fields.

3) According to Right-hand thumb rule, if Keisha's thumb points in the direction of an electrical current, her fingers curled around the wire will represent the direction of magnetic field.

4) Resistance of the light bulb, R = 20 Ω

   Current flowing through the light bulb, I = 30 A

Voltage of the battery,

V = IR

V = 30 x 20

V = 600 V

5) The deflection in the needle of the compass is due to the change in the Earth's magnetic field.

6) The batteries are not able to power all three light bulbs like the generator because, the generator current is more steady.

7) The attraction of the metal objects towards the electrical device is due to an electrical wave oscillating perpendicular to the electrical device.

8) Current in the first tablet, I₁ = 10 A

Voltage applied, V = 150 V

We know that,

I [tex]\alpha[/tex] 1/R

Therefore,

I₁/I₂ = R₂/R₁

I₂ = R₁I₁/R₂

I₂ = R x 10/2R

I₂ = 10/2 = 5 A

So, the current of the second tablet is 5 A.

Hence,

In a battery (voltaic cell), the electrons flow from the negative to the positive terminal.

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While working out a man preformed 200 J of work in 3 seconds. What was his power?

A. 600 W
B. 33.3 W
C. 66.7 W
D. 112.3 W

Answers

Answer:

C

Explanation:

A watt is a joule per second. Since he is working over 3 seconds you have to divide his work over three seconds which is 200/3. This gets you 66.7 watts.

3. An airplane is heading north with an airspeed of 325 m/s with a wind from the east at 55.0 m/s. What is the airplane's velocity relative to the ground? Is the airplane's ground speed faster or slowerthan its air speed? Why?​

Answers

Let a denote the airplane's velocity in the air, g its velocity on the ground, and w the velocity of the wind. (Note that these are vectors.) Then

a = g + w

and we're given

a = (325 m/s) j

w = (55.0 m/s) i

Then

g = - (55.0 m/s) i + (325 m/s) j

The ground speed is the magnitude of this vector:

||g|| = √[ (-55.0 m/s)² + (325 m/s)² ] ≈ 330. m/s

which is faster than the air speed, which is ||a|| = 325 m/s.

The relative velocity of the airplane with respect to the ground is 329.6 m/s.

The airplane's ground speed is faster than the airspeed because the relative speed of the the ground is zero causing the airplane to appear faster.

The given parameters;

speed of the airplane, [tex]V_P[/tex] = 325 m/s northspeed of the wind, [tex]V_w[/tex] = 55 m/s east

The velocity of the airplane relative to the ground is calculated by applying Pythagoras theorem as follows;

[tex]V_G_P^2 = 325^2 + 55^2\\\\V_G_P = \sqrt{325^2 + 55^2} \\\\V_G_P = 329.6 \ m/s[/tex]

Thus, we can conclude that the airplane's ground speed is faster than the airspeed because the relative speed of the the ground is zero causing the airplane to appear faster.

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arrange this letters plss lubilsoity​

Answers

Answer:

Solubility

Explanation:

found

possible to solve

How should the student change the circuit to give negative values for current and
potential difference?

Answers

Answer:

changing the polarity or direction of the battery changes the sign of the voltage and the current

Explanation:

The sign of current and voltage are due to established conventions.

The way that a DC circuit with negative current values ​​is by changing the polarity of the power source or by inverting the battery, this creates that the electrons move in the opposite direction

Changing the battery also changes the direction of the power difference, since the potential from positive to negative, in most cases negative is assigned a potential of zero volts

In summary, changing the polarity or direction of the battery changes the sign of the voltage and the current

Help!!!
Remember W = mg, 1 kg = 2.2
2) A car engine has a weight of 1500 N, what is it's mass and what is it's weight in lbs.?

Answers

Answer:

Mass is 152.95743

weight in ibs 3304.6914215069355 ibs

EXPLANATION:

1500 N = 152.95743 KG

152.95743 KG × 9.8 = 1498.982814

1 KG is 2.2 IBS

so

14o8.982814 is 3304.6914215069355

When a car speeds up when rounding a curve, what happens to its centripetal
acceleration?


A.) It decreases

B.) It increases

C.) It remains constant.

D.) It is zero.

Answers

i would say b , but i’m not 100% sure

How is energy sent from Earth to space?
conduction and convection
radiation and conduction
reflection and conduction
radiation and reflection

Answers

It might be radiation and reflection but I’m not sure

Answer:

radiation and reflection

hope helps you

have a nice day

A skler is traveling fast down a mountain slope. The table shows data
collected on the skier at a particular instant.
Mass
64 kg
608 N
Weight
Velocity
21 m/s, forward
Force of friction between skis and snow
6 N, backward
Force of air resistance
0.5 N, backward
Which values affect the net force on the skier?
A. The skier's weight and the force of air resistance
B. The force of friction between the skis and the snow and the force
of air resistance
C. The skier's velocity and the force of friction between the skis and
the snow
D. The skier's weight, the force of friction between the skis and snow,
and the force of air resistance

Answers

D Would he the best answer if your talking of the friction due to the weight and velocity of the object hope that helps

Answer:

D. The skier's weight, the force of friction between the skis and snow,

and the force of air resistance

Explanation:

If two objects, such as the the skier, and skies undergo a fast velocity downward, the net force is the total force or newtons which are all components of weight as apparent to mass and gravity, friction, which is the contact force of the skis on the snow, and air resistance which limits the air resistance is the opposite force acting on the object I'm the air relative to the density of air, cross sectional area of the object, the coefficient of drag which is based on the density of the object, it's area, and dynamic air pressure.

Once the offense comes to the line of scrimmage in one formation, it cannot change to another formation true or false

Answers

Answer:

False.

Explanation:

This question refers to the rules of American Football. Thus, the line of scrimmage is an imaginary boundary that is established between both teams, to which the offensive line and the defensive line go to start the play.

In this situation, the offensive team must have 7 players in its formation, but within this some players can perform certain movements, with which it is incorrect to say that the formation cannot be modified, since it is constantly seen as some players, such as wide receivers, for example, move during scrimmage formation.

1. What is the gravitational force of attraction between two 800 kg spherical objects that are 5 m apart? What would the gravitational force of attraction between these two objects be if the distance between them was changed to 10 m?

Answers

Answer:

the force of gravity between them is quadrupled .

Explanation:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.

A 8,000 kg amazon truck carrying a 3000 kg package is moving at 20 m/s along a level road as shown to the left. The driver applies the brakes to slow down. The truck travels 50 meters while applying the brakes for 3.0 seconds. The package does not slide on the back of the truck. a) Calculate the rate of acceleration b) Calculate the minimum coefficient of friction between packages and the truck

Answers

Answer:

(a) -6.67 [tex]m/s^2[/tex]

(b) 0.68

Explanation:

Given that the mass of the truck, [tex]m_1=8000[/tex] kg.

Mass of the package, [tex]m_2=3000[/tex] kg.

As the package does not slide, so the acceleration of both, truck as well as the package, is the same.

Let [tex]a\;\; m/s^2[/tex] is the acceleration of the combined mass, m.

[tex]m=m_1+m_2= 8000+3000=11000[/tex] kg.

The initial velocity of the combined mass, u= 20 m/s.

Time required to stop, t=3 seconds.

Final velocity, v=0.

Displacement traveled, s=50 m.

(a) As  [tex]a=\frac {v-u}{t}[/tex]

[tex]\Rightarrow a=\frac{0-20}{3}=-\frac{20}{3} =6.67 m/s^2[/tex]

Hence the acceleration of the truck is [tex]-6.67 m/s^2.[/tex]

(b) Now, [tex]a=-6.67 m/s^2[/tex] is the acceleration of the package, this acceleration is due the frictional force, f.

Due to inertia, on application of break, the package have tendency to slide to left (in  the direction of velocity). But the package does not slides, this is only due to the frictional force, f, which acts in the right direction ( opposite to the direction of velocity).

So, the magnitude of frictional force required on [tex]m_2[/tex]  to avoid slide is

[tex]f=|m_2a|=\frac{20}{3}m_2\times(i)[/tex]

Now, let \mu be the minimum coefficient of the friction, so

The force due to friction, [tex]f_r= \mu N[/tex],

where [tex]\mu N[/tex] is the normal reaction.

[tex]N=m_2g[/tex], where g is the acceleration due to gravity.

So, [tex]f_r=\mu m_2g\cdots(ii)[/tex]

To avoid slide, [tex]f_r\geq f[/tex]

[tex]\Rightarrow \mu m_2g\geq\frac{20}{3}m_2[/tex] [from (i)and (ii)]

[tex]\Rightarrow \mu\geq \frac{20}{3\times 9.81}[/tex]    [tex][ as \;g=9.81 m/s^2][/tex]

[tex]\Rightarrow \mu \geq 0.68[/tex]

Hence, the minimum value of coefficient of friction between packages and the truck os 0.68.

An object originally moving at a speed of 20. meters per second accelerates uniformly for 5.0 seconds to a
final speed of 50. meters per second. What is the acceleration of the object?

Answers

final speed of 50. Meters second acceleration 92

Answer:

92

Explanation:

what do you get when you combine helium and carbon

Answers

Answer: oxygen

Explanation: Helium burns into carbon and carbon combines with helium to make oxygen.

Answer:

The internal core collapses, and heats up, until it is hot enough to fuse helium into larger atoms, for instance, by combining three helium atoms into carbon. At this same time, some helium will fuse with that carbon to produce oxygen. ... it becomes essentially a free-for-all for creating heavier and heavier atoms.

Explanation:

Hope this is helpful, Have a Great Day/Night!!

A kayakeris paddling 2.50 m/s at an angle of 45° (northeast) and the current is moving 1.25 m/s at an angle of 315° (southeast). What is the kayaker's total velocity?​

Answers

The kayaker has velocity vector

v = (2.50 m/s) (cos(45º) i + sin(45º) j )

v ≈ (1.77 m/s) (i + j )

and the current has velocity vector

w = (1.25 m/s) (cos(315º) i + sin(315º) j )

w ≈ (0.884 m/s) (i - j )

The kayaker's total velocity is the sum of these:

v + w ≈ (2.65 m/s) i + (0.884 m/s) j

That is, the kayaker has a velocity of about ||v + w|| ≈ 2.80 m/s in a direction θ such that

tan(θ) = (0.884 m/s) / (2.65 m/s)   →   θ ≈ 18.4º

or about 18.4º north of east.

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