A boy steps off the end of a 3.00 m high diving board and drops to the water below. Using 9.8 m/s2 as acceleration due to earth's gravity, how many seconds does it take for him to reach the water? Only enter the number, not the units.

Answers

Answer 1

Answer:

t = 0.78 s

Explanation:

Given that,

The height of a diving board, h = 3 m

We need to find the time it take for him to reach the water. Let the time is t./

Using second equation of motion as follows :

[tex]h=ut+\dfrac{1}{2}at^2[/tex]

u is initial velocity, u = 0 and a = g

So,

[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\cdot3}{9.8}}\\\\t=0.78\ s[/tex]

So, it will take 0.78 seconds to reach the water.


Related Questions

A go-kart and rider have a mass of 14 kg. If the cart accelerates at 6 m/s² during a 40 m sprint in 100 seconds, how much power did the cart do?

Answers

Answer:

P=33.6 \ W

Explanation:

Mechanical Work and Power

Work is the amount of energy transferred by a force. It's a scalar quantity, with SI units of joules.

Being [tex]\vec F[/tex] the force vector and [tex]\vec s[/tex] the displacement vector, the work is calculated as:

[tex]W=\vec F\cdot \vec s[/tex]

If both the force and displacement are parallel, then we can use the equivalent scalar formula:

[tex]W=F.s[/tex]

Mechanical Power is the amount of energy transferred or converted per unit of time. The SI unit of power is the watt, equal to one joule per second.

The power can be calculated as:

[tex]\displaystyle P=\frac {W}{t}[/tex]

Where W is the work and t is the time.

If an object of mass m has an acceleration a, the net force is:

F=m.a

The go-kart and rider have a mass of m=14 kg and accelerate at [tex]6 m/s^2[/tex], thus the net force applied is:

[tex]F=14\cdot 6 = 84\ N[/tex]

The work done by the cart when traveling d= 40 m is:

[tex]W=84\cdot 40[/tex]

[tex]W=3,360\ J[/tex]

Finally, the power for t= 100 seconds is:

[tex]\displaystyle P=\frac {3,360}{100}[/tex]

P=33.6 \ W

pls help i will give u brianliest!

Answers

Answer:

Explanation:

neautrons and protons

HELP!! Explain why a more streamlined car generally will have a better fuel economy than a bulkier car with the same mass.

Answers

streamlined means less air resistance. The car will need less force so less fuel in order to overcome air resistance. This will make it more fuel efficient.

Answer: A streamlined car will be more aerodynamic causing it be more fuel efficient.

Explanation: Aerodynamic-of or having a shape which reduces the drag from air moving past. A bulkier car will be less aerodynamic meaning that the air that hits it won't go around but push it back causing it to use more power which causes it to use more fuel. A streamlined car will allow air to flow around and over the car, a streamlined car will usually be less like a box and have more curves.

an airplane flies 1,592 miles east from arizona to georgia in 3.68 hours. what is the average velocity of the airplane

Answers

Answer: Around 433 miles

Explanation:


The density of an object has the equation d = m/v. if an object has a mass of
2.5 g and a volume of 1.3 cm3, what is its density?

Answers

Answer:

The answer is 1.92 g/cm³

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\ [/tex]

From the question we have

[tex]density = \frac{2.5}{1.3} \\ = 1.923...[/tex]

We have the final answer as

1.92 g/cm³

Hope this helps you

what is meant by heat energys​

Answers

Answer:

heat energy is the form of energy produced by heat

when we burn heat a type of enery is came

How much work is done when a girl applies a force of 80 N to move an object 4 m, and then moves the object 1 m back?

Answers

Answer:

[tex]w = \underline{{ \boxed{400 \: J }}} [/tex]

Explanation:

[tex]work \: done = \boxed{force \times distance} \\ w = 80 \times (4 + 1) = 80 \times 5 \\ w = \underline{{ \boxed{400 \: J }}} [/tex]

5 points
At 55 minutes how fast is the object moving?*
velocity
B01
B
60
40
А
20
me
min
D
20
40
10
20
30
50
55 m/s
60 m/s
20 m/s
0 m/s

Answers

Answer:

9 answer hai brown

What best describes the volcanic process of magma with dissolved water vapor and other gases as it nears the Earth surface?
Pressure on the molten rock lessens and the gases quickly dissipate into the atmosphere.
Explosive gases such as methane and ethane combine with oxygen and ignite violently in the atmosphere.
Pressure on the molten rock lessens the rock rapidly expands to the point that it explodes and ejects into the atmosphere.
Pressure on the molten rock lessens and the gases dissolved in rock can bubble and expand rapidly causing violent eruptions.

Answers

Answer:

Pressure on the molten rock lessens and the gases dissolved in rock can bubble and expand rapidly causing violent eruptions.

Explanation:

that's just how it works lol. hope this helps :]

Answer:D

Explanation: got it right on mine

A crane lifts a 75kg mass a height of 8 m. Calculate the gravitational potential energy gained by the mass (g = 9.8 N/kg.

Answers

U=mgh
U= 75 x 9.8 x 8
U= 5880 j

the value of g is greater at the poles than at the equator why​

Answers

The reason is because the Earth is not a perfect sphere. The distance from the poles to the centre of the Earth is smaller and the gravity is slightly greater.
The distance from the equator to the centre is slightly bigger so gravity is slightly smaller.

Answer:

because the gravitational pull is maximum at the poles and decreases as it comes down toward the equator.

The diagram below shows the velocity vectors for two cars that are moving relative to each other.


From the frame of reference of car 1, what is the velocity of car 2?

Answers

Answer:

The answer is "[tex]5 \ \frac{m}{s} \ west[/tex]"

Explanation:

[tex]\to \vec{V_1} = (25 \frac{m}{s}) (\hat{-i})\\\\\to \vec{V_2} = (20 \frac{m}{s}) (\hat{-i})\\\\[/tex]

velocity of car | respect to car :

[tex]\to \vec{V_{12}} = \vec{V_1} - \vec{V_2}\\\\[/tex]

          [tex]=\vec{-25} \hat{i}+ \vec{20} \hat{i}\\\\= 5 \ \frac{m}{s} \ west[/tex]

Answer:

70 m/s east

Explanation:

Why are black holes so deeply part of the collective imagination (books, movies, songs, video games, comics, paintings, etc)?

Answers

Answer:

Black holes are some of the strangest and most fascinating objects in outer space. They're extremely dense, with such strong gravitational attraction that even light cannot escape their grasp if it comes near enough. so when in books, movies, songs, video games, comics, paintings, etc you can imagine the impossible. as in escaping a black hole

Explanation:

What clouds are best associated with thunderstorms?

Answers

Answer:

Cumulus Congestus & Cumulonimbus Clouds

16.
The parents in Jana's neighborhood rely on her to baby-sit for them. Jana loves little children
and is very good with them. She enjoys her babysitting business on some week nights and
many weekends. She has dance class 4 times a week. Therefore, Jana has difficulty finding
time to do her homework What area is she weak in?

Answers

Answer:

doing her homework/finding time to do important things

a metal has a density of 8.0g/cm3 a solid cube of mass 1.0kg is made from this metal how long is each side of the cube?

Answers

Answer:

5 cm

Explanation:

We are given that,

The density of metal = 8 g/cm^3

The Mass of the Solid Cube = Mass of the metal  = 1 kg = 1000 g

We know that,

Density = Mass / Volume

8 = 1000 / V

[tex]V = 1000/8\\V = 125 cm^3[/tex]

Hence, as the volume of the solid cube is 125 cm^3, its side will be the volume's cube root which is 5 cm

IF a car trip 400 km in four hours what is the rate of speed that a car is traveling?

Answers


Speed = Distance/ Time

Speed = 400 / 4

Speed = 100 km/hr.

100 km per hour.

What are some signals of autism?

Answers

Answer:

The range and severity of symptoms can vary widely. Common symptoms include difficulty with communication, difficulty with social interactions, obsessive interests, and repetitive behaviors.

At any age

1. Loss of previously acquired speech, babbling or social skills.

2. Avoidance of eye contact.

3. Persistent preference for solitude.

4. Difficulty understanding other people's feelings.

5. Delayed language development.

6. Persistent repetition of words or phrases (echolalia)

7. Resistance to minor changes in routine or surroundings.

Have a nice day ✨

Gamma rays are given out from the
of radioactive atoms. What one word completes the sentence??

Answers

Gamma rays are given out by the nucleus of certain radioactive materials. Radioactive material ray causes harm to the human beings and environment.

What is gamma-decay?

Gamma decay is the production of extremely high-frequency electromagnetic radiation in order to stabilize the unstable nucleus. You must be well-versed in the various energy levels found in an atom.

The Nucleus has its own amount of energy. Gamma decay is the nucleus' method of transitioning from a higher energy level to a lower energy level by emitting high energy photons.

Gamma rays are given out by the nucleus of certain radioactive materials.

Hence, nucleus is the right answer for the blank.

To learn more about the gamma decay, refer to the link;

https://brainly.com/question/25455333

#SPJ2

why is friction possible to slip on the wet floor​

Answers

Answer:

why is friction possible to slip on the wet floor​

Explanation:

This is because the coefficient of friction μ and the therefore resultant force of limiting friction Fs is significantly reduced when a lubricant is introduced between the the two kinetic or static surfaces.

Answer:

Pls mark me brainliest. the ans

Explanation:

Wet floors have less friction so there is a lesser chance of slipping. This is because the coefficient of friction μ and the therefore resultant force of limiting friction Fs is significantly reduced when a lubricant is introduced between the the two kinetic or static surfaces.

One of the largest pipe organs is in the aŭditorium organ in the Fox Theatre. The pipe is 32
ft. long and produces a sound with a wavelength of about 8.8m. If the speed of sound in air is 346
m/s what is the frequency of this sound? What is the period? Show all work and explain your
answer. (12 pts.)

Answers

Answer:

Explanation:

Wave Period and Frequency In this video Paul Andersen explains how the period is the time between wave and the frequency is the number of ... Your browser does not currently recognize any of the video formats available. ... Show less Show more ... Waves: Light, Sound, and the nature of Reality.

NEED HELP TODAY

Which of the following is true about the speed of light?
A. It depends on the wavelength
B. In a vaccum, it is a constant value that does not depend on the observer
C. It is the slowest in a vacuum unless the observer is moving towards the source
D. In a vacuum, it varies depending on the color of the light

Answers

Answer:

I am pretty sure it is B My friend hope you are well

Explanation:

Answer:

B- It is a constant when the light is traveling in a vacuum.

Explanation:

"Light in a vacuum always travels at the same speed." Those additional three words in a vacuum are very important. A vacuum is a region with no matter in it. So a vacuum would not contain any dust particles (unlike a vacuum cleaner, which is generally full of dust particles)

Why might measuring changes in speed or direction be important?

Answers

It’s important because if you were let’s say training to see how far you go in 10sec you need to record your data to see how much you are improving in that skill or something

what is a car's acceleration between 25 s and 30 s?

Answers

I think you subtract them so you’ll get 5s

An elevator weighs 8,000 N of force. What is the mass of the elevator

Answers

Answer:

Mass, m = 816.33kg

Explanation:

Weight can be defined as the force acting on a body or an object as a result of gravity.

Mathematically, [tex] Weight, W = mg[/tex]

Where;

m is the mass of an object. g is acceleration due to gravity.

Making mass, m the subject of formula, we have;

[tex] Mass, m = \frac {W}{g} [/tex]

Given the following data;

Weight = 8000N

We know acceleration due to gravity is equal to 9.8 m/s²

Substituting into the equation, we have;

[tex] Mass, m = \frac {8000}{9.8} [/tex]

Mass, m = 816.33kg

Therefore, the mass of the elevator is 816.33kg.

The car on a track begins at the 80-cm mark. The car moves in the negative direction at a speed of 5 cm/s. After three seconds, a. What distance has the car traveled? b. What is the displacement of the car? c. What is the car's new position on the track? Please hurry up

Answers

Answer:

a) The car travelled a distance of 15 centimeters.

b) The displacement of the car is -15 centimeters.

c) The new position of the car on the track is 65 centimeters.

Explanation:

a) From Mechanical Physics we know that the distance travelled is magnitude of the route covered by the vehicle. If this car travels in a straight line and at constant velocity, then we can calculate the distance traveled by the following expression:

[tex]\Delta s = v\cdot \Delta t[/tex] (Eq. 1)

Where:

[tex]v[/tex] - Speed of the car, measured in centimeters per second.

[tex]\Delta t[/tex] - Time, measured in seconds.

[tex]\Delta s[/tex] - Distance travelled by the car, measured in meters.

If we get that [tex]v = 5\,\frac{cm}{s}[/tex] and [tex]\Delta t = 3\,s[/tex], then the distance travelled by the car is:

[tex]\Delta s = \left(5\,\frac{cm}{s} \right)\cdot (3\,s)[/tex]

[tex]\Delta s = 15\,cm[/tex]

The car travelled a distance of 15 centimeters.

b) The displacement is the vectorial distance between final and initial position. Then, we find that initial and final positions of the car are, respectively:

Initial position:

[tex]s_{o} = 80\,cm[/tex]

Final position: ([tex]s_{o} = 80\,cm[/tex], [tex]\Delta s = 15\,cm[/tex])

[tex]s_{f} = s_{o} -\Delta s[/tex] (Eq. 1)

[tex]s_{f} = 80\,cm-15\,cm[/tex]

[tex]s_{f} = 65\,cm[/tex]

And the displacement of the car is: ([tex]s_{o} = 80\,cm[/tex], [tex]s_{f} = 65\,cm[/tex])

[tex]d = s_{f}-s_{o}[/tex] (Eq. 2)

[tex]d = 65\,cm-80\,cm[/tex]

[tex]d = -15\,cm[/tex]

The displacement of the car is -15 centimeters.

c) The position of the car is its location regarding a point of reference. From point b) we find that the new position of the car on the track is:

[tex]s_{f} = 65\,cm[/tex]

The new position of the car on the track is 65 centimeters.


Particles in a substance move __ when more thermal energy is transferred to that object.
that object.
A faster
B slower

Answers

A: they move faster with more thermal energy
Faster since when the temperature rises, the particles go crazy! And when it decreases the particles go slower since they are closer to being frozen.
Hope this helped!:)

A ball is thrown up into the air with the initial velocity of 18 m/s. A) How high does the ball go? B) Calculate the time needed for the ball to reach its max height.

Answers

Answer:

(a) h = 16.53 m (b) t = 1.83 s

Explanation:

Given that,

The initial velocity of a ball, u = 18 m/s

When it reaches to the maximum height, its final velocity v will be 0. Let it goes to a maximum height of h meters.

Finding t using first equation of motion as follows :

v = u +at

Here, a = -g and v = 0

[tex]t=\dfrac{u}{g}\\\\t=\dfrac{18}{9.8}\\\\t=1.83\ s[/tex]

The time needed for the ball to reach its max height is 1.83 s.

Let h is the maximum height. Using second equation of motion to find it :

[tex]h=ut-\dfrac{1}{2}gt^2\\\\h=18(1.83)-\dfrac{1}{2}\times 9.8\times (1.83)^2\\\\h=16.53\ m[/tex]

So, it will go to a maximum height of 16.53 m.


A 7.0 kg cannonball flying rightward at 12 hits a stationary rock. The cannonball keeps moving in the same
S
m
m
direction at 2.0 after the collision but sends the rock flying at 14 towards right
S
S
What is the mass of the rock?

Answers

Answer:

5.0 kg

Explanation:

use the equation; (m1v1i) + (m2v2i) = (m1v1f) + (m2v2f)

A ball is thrown vertically upwards with a velocity of 9.8 m/s. Its velocity after 1 second will be
[ Take g = 9.8 ms¯²]
9.8 m/s
19.6 m/s
Zero
2.45 m/s

Answers

[tex] \LARGE{ \underline{\underline{ \purple{ \bf{Required \: answer:}}}}}[/tex]

GiveN:

Initial velocity = 9.8 m/s²Accleration due to gravity = -9.8 m/s²Time taken = 1 s

To FinD:

Final velocity of the ball?

Step-by-step Explanation:

Using the first Equation of motion,

⇒ v = u + gt

⇒ v = 9.8 + -9.8(1)

⇒ v = 0 m/s

The final velocity is hence 0 m/s.

Note:

While solving questions of under gravity motions using equations of motion, remember the sign convection to avoid mistakes.You can consider positive above the ground and negative for towards it.
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