activities you can do on a regular basis for physical education?
If so
WalkingGardeningDancingBicyclingSwimmingYoga. A boy wishes to throw a ball through a house via two small openings, one in the front and the other in
the back window, the second window being directly behind the first. If the boy stands at a distance of 5m
in front of the house and the house is 6m deep and if the opening in the front window is 5m above him
and that in the back window 2m higher, calculate the velocity and the angle of projection of the ball that
will enable him to accomplish his desire.
Answer:
1) The angle of projection of the ball is approximately 52.496° above the horizontal
2) The velocity with which the boy throws the ball to enable him accomplish his desire is approximately 14.769 m/s
Explanation:
In the projectile motion of the ball, the parameters are;
The distance the boy stands from the front of the house = 5 m
The depth of the house, front to back = 6 m
The height of the opening of the front window above him = 5 m
The height of the back window = 2 m higher than the front window
Therefore, the height of the back window = 5 m + 2 m = 7 m
1) The general formula for the vertical height of a parabolic projectile motion is given as follows;
y = a·x² + b·x + c
At y = 0, x = 0, therefore, c = 0
At y = 5, x = 5, we have;
5 = a·5² + b·5
∴ 5 = 25·a + 5·b...(1)
At y = 7, x = 11, we have;
7 = a·11² + b·11
7 = 121·a + 11·b...(2)
Making 'a' the subject of equation (1) and (2) and equating both values of 'a' gives;
For equation (1);
a = (5 - 5·b)/25 = 1/5 - b/5
a = 1/5 - b/5
For equation (2);
a = (7 - 11·b)/121 = 7/121 - b/11
a = 7/121 - b/11
∴ 1/5 - b/5 = 7/121 - b/11
1/5 - 7/121 = b/5 - b/11
86/605 = 6·b/55
b = (86/605) × (55/6) = 43/33
b = 43/33
a = 1/5 - b/5 = 1/5 - (43/33)/5 = -2/33
∴ y = (-2/33)·x² + (43/33)·x
The slope of the curve = dy/dx = d((-2/33)·x² + (43/33)·x)/dx = -4/33·x + 43/33
The slope of the curve at any point on the projectile = -4/33·x + 43/33
The slope at the origin is given by plugging x = 0 as follows
The slope at the origin = -4/33 × 0 + 43/33 = 43/33
The slope at the origin = tan(θ) = 43/33
Where;
θ = The angle of projection of the ball
∴ θ = arctan(43/33) ≈ 52.496°
The angle of projection of the ball, θ ≈ 52.496° above the horizontal
2) At the back widow, the equation for the vertical height, 'h', is given as follows;
[tex]h = (tan \angle \theta) \cdot x - \left(\dfrac{g}{2 \cdot v_1^2 \cdot cos^2 \angle \theta } \right )\cdot x^2[/tex]
Where;
h = The vertical height of the back window = 7 m
tan∠θ = 43/33
x = The horizontal distance of the back window from the boy = 5 m + 6 m = 11 m
g = The acceleration due to gravity = 9.8 m/s²
v₁ = The velocity with which the boy throws the ball
cos²∠θ = cos²(arctan(43/33)) = 1089/2938
Plugging in the values gives;
[tex]7 = \left (\dfrac{43}{33} \right) \times 11 - \left(\dfrac{9.8}{2 \cdot v_1^2 \cdot \dfrac{1089}{2938} } \right )\cdot 11^2[/tex]
[tex]\therefore v_1^2 = \dfrac{71981}{330}[/tex]
[tex]\therefore v_1 = \sqrt{\dfrac{71981}{330}} \approx \pm14.769[/tex]
The velocity with which the boy throws the ball to enable him accomplish his desire, v₁ ≈ 14.769 m/s.
A car traveling at 25 meters per second is brought to stop by a force over a 10 second timer interval. What was the acceleration of the car during the 10 second time interval.
Answer:
–2.5 m/s²
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 25 m/s
Final velocity (v) = 0 m/s
Time (t) = 10 s
Acceleration (a) =?
Acceleration can simply be defined as the rate of change of velocity with time. Mathematically, it can be expressed as:
a = (v – u) /t
Where:
a => is the acceleration
v => is the final velocity
u => is the initial velocity
t => is the time.
With the above formula, we can obtain the acceleration of the car as follow:
Initial velocity (u) = 25 m/s
Final velocity (v) = 0 m/s
Time (t) = 10 s
Acceleration (a) =?
a = (v – u) /t
a = (0 – 25) /10
a = –25 / 10
a = –2.5 m/s²
The acceleration of the car is –2.5 m/s². The negative sign indicate that the car is decelerating i.e coming to rest.
Which of these is not a scalar quantity?
Answer:
options?!?
Explanation:
give us some options
A space station travels 5000 kilometers in 4 hours. What is its speed?
Group of answer choices
20000 kilometers/hour
12500 kilometers/hour
2000 kilometers/hour
1250 kilometers/hour
Answer:
it is 1250 because it moves 5000 in four hours then it means that it is moving at 1250 an hour
Explanation:
A rectangular block of copper metal weighs 1896 g. The dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. From this data, what is the density of copper? (hint: find the volume of a block first)
Answer:
8.9 g/cm^3
Explanation:
density = mass/volume
volume = length * width * height
volume = (8.4 cm)(5.5 cm)(4.6 cm)
volume = 212.52 cm^3
mass = 1896 g
density = (1896 g)/(212.52 cm^3)
density = 8.9 g/cm^3
which statement is the most correct statement about a gas
A gas takes the shape of it's container
A gas is not affected by changes in pressure
A gas has very little thermal energy
A gas holds it's shape
Answer:
A gas takes the shape of its container
An object is in uniform circular motion and is moving at a speed of 2.3 m/s. How does the speed of the object change if the centripetal force and
the radius stay the same, but the mass quadruples?
(A) Its speed is cut in half, because centripetal force is based on the square root of velocity.
(B) Its speed is cut in half, because centripetal force is based on velocity squared.
(C) Its speed is doubled, because centripetal force is based on the square root of velocity.
(D) Its speed is doubled, because centripetal force is based on velocity squared.
Answer:B
Explanation:
Answer:
The answer is B
Explanation:
My Fitness Goals: (List your specific and general goals)
Example:
Specific Goals:
Improving muscular strength and endurance.
General Goals:
Developing a more positive attitude about myself.
answer this please
What can be used to plot the magnetic field around a bar magnet?
Answer:
A bar magnet creates a magnetic field around it. The field cannot be seen, but its effects can be observed. This is how the magnetic field around a magnet is detected. Iron fillings can be used to study the presence of magnetic field and a compass can be used to plot the field lines.
Explanation:
Please helpp!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. Conservation of energy.
Explanation:
Kirchhoff's loop rule is an example of conservation of energy.
☻/
╬═╬/▌ hi guys plz answer the question
╬═╬/ \
Two students are pushing a cart, as shown. The right is pushing 200 N, and the left is pushing 150 N. The cart will move as if it were acted on by a single force with a magnitude of...
A. 50 N.
B.
C. 150 N.
D. 200 N.
E 350 N.
Answer:
A 50N
Explanation:
4.Your friend tells you the weight of aparticular sample of chalk is 17.85 grams. Is there anything wrong with your friend ’statement?
A. No, because grams are the right units for weight.
B. No, because mass and weight are really the same thing.
C.Yes, because your friend should have reported the mass in kilograms.
D. Yes, because mass and weight are measured in different units
Answer:
A i tooook theee quizzz too
the gazelle travels 2 km in a half hour.The gazelle's average speed is:
1/2 kmh
1km/h
4km/h
Answer:
distance =2km
time =1/2hour
speed =distance /time =2/1/2=4km/h
The average speed of the gazelle is equal to 4 Km/h. Therefore, option (C) is correct.
What is the average speed?The average speed can be defined as the total distance traveled in a fixed interval of time. It can be determined by dividing the total distance traveled by the total time.
The average velocity of the object is a single value if the object moves uniformly, it will travel the same distance in the same interval of time.
The mathematical expression for the average speed is as follows:
The average speed = Total distance covered/Total time taken
Given, the distance traveled by gazelle = 2 Km
The time taken by the gazelle to travel this distance = 1/2 hr = 0.5 hr
The average speed = 2Km/ 0.5 hr = 4 Km/hr
Therefore, the gazelle's average speed is equal to 4 Km/hr.
Learn more about average speed, here:
https://brainly.com/question/12322912
#SPJ2
Which has the least potential energy?
gases
liquids
solids
will mark brainlist
I think gases have less potential energy
WILL GIVE BRAINLIST a HELP PLEASE
pleaseeee
Answer:
Concave mirror
Explanation:
Because as we move the object far away from the mirror, the image gets inverted.
Answer:
Concave mirror
Explanation:
14) What is the velocity of a wave 5.35 x 10 cm long with a frequency of 16kHz
Answer:
wavelength= 5.35×10cm=0.535m
f= 16000hz
v= wavelength × f= 0.535×16000=8560m/sec
A radioactive isotope has a half-life of 20 hours. How long will it take for 3/4 of the source to decay?
Answer:
40 hours
Explanation:
in 20 hours, 1/2 will decay
in 40 hours, 1/4 will decay
therefore, 40 hours
Which has more potential energy: a baseball held 1 m above the ground or a baseball held 2 m above the ground?
The baseball held 2 meters above the ground has more potential energy than the baseball held 1 meter above the ground.
The potential energy can be calculated with the following equation:
[tex] E_{p} = mgh [/tex]
Where:
m: is the mass of the baseball
g: is the acceleration due to gravity
h: is the height
We can see from equation (1) that the potential energy depends on height, mass, and gravity. Since the question refers to the same baseball, the mass is constant besides the acceleration due to gravity, so:
Potential energy above 1 m[tex] E_{p_{1}} = mg*1 = mg [/tex] (1)
Potential energy above 2 m[tex] E_{p_{2}} = mg*2 = 2mg [/tex] (2)
By entering equation (1) into 2 we have:
[tex] E_{p_{2}} = 2mg = 2E_{p_{1}} [/tex]
Hence, the potential energy of the baseball held 2 m above the ground is twice that of the baseball held 1 m above the ground.
Therefore, the baseball held 2 m above the ground has more potential energy.
You can learn more about potential energy here: https://brainly.com/question/15813853?referrer=searchResults
I hope it helps you!
Temperature is
SELECT ALL THAT APPLY
a measurement of thermal energy
a constant value
able to change based on surrounding energy
conditions
equal to heat
Answer:
The 1st and the 3rd answer
If an object is placed between a convex lens and its focal point, which type of image will be produced?
A.
real, inverted, and magnified
B.
real, upright, and smaller
C.
virtual, inverted, and magnified
D.
virtual, upright, and magnified
E.
real, inverted, and smaller
Answer:
A
Explanation:
Beacuse it has 2 angles
Answer:
b I do believe sorry if I'm wrong
why sounds hear clearly at night than day?
No one give proper answer.
when you carry the 2 and add the 3 its Z
_______ is a feeling of admiration for someone or something elicited by their abilities, qualities, or achievements.
love
empathy
infatuation
respect
Answer:
Respect is a feeling of admiration for someone or something elicited by their abilities, qualities or achievements.
Explanation:
PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (40pts)
Answer: According to http://www.scifun.org, "Bernoulli's Principle says that the pressure decreases inside a stream of flowing air. When the balloon begins to move out of this low pressure stream, the higher pressure of the air in the room pushes it back into the moving stream"
How often do we have a solar eclipse or a lunar eclipse?
Answer:
In most calendar years there are two lunar eclipses; in some years one or three or none occur. Solar eclipses occur two to five times a year, five being exceptional; there last were five in 1935, and there will not be five again until 2206.
A disc whose moment of inertia is 1kgm² is rotating at 100 rad/sec. This disc is pressed against a similar disc that is able to rotate freely but is initially at rest. The two disc together and rotate as a unit. Determine the final angular velocity of the system.
it may help you have a great day
HELP ASAP!!! The gravitational pull of the Moon is much less than the
gravitational pull of Earth.
Which two statements are true for an object with a mass of 20 kilograms that
weighs 44 pounds on Earth?
O A The object's weight would be the same on the Moon
B. The object's weight would be less on the Moon
C. The object's mass would be the same on the Moon
DD. The object's mass would be less on the Moon
Answer:
I'm pretty sure its B and C
Explanation:
B bc the weight is gravitational pull x mass so when the object has same mass the weight is smaller on moon
C bc mass is the same - you can't change it
The correct answers are B and C
What is the fluid theory of electricity?
Answer:
Fluid theories of electricity are outdated theories that postulated one or more electrical fluids which were thought to be responsible for many electrical phenomena in the history of electromagnetism.
I hope it's helpful!
Question 6 of 59
A wave has a wavelength of 5 m and a speed of 65 m/s. What is the frequency of this wave in Hz?
Answer:
13 Hz Ans..
Explanation:
Data:
wavelength = 5 m
v = 65 m\s
f = ?
Formula:
v = f w
f= v\w
Solution:
f = 65 \ 5
f = 13 Hz Ans .........
Which would not increase the rate at which a sugar cybe dissolves?
A. reducing the amount of solvent. B. forces attract.
C. sugar decants. D. water molecules collide.
The wave take 0.12 to reach the satellite. Calculate the height of the orbit of the communications satellite
Answer:
x = 3.6 10⁷ m
Explanation:
The speed of an electromagnetic wave is constant, in a vacuum its value is c = 3 10⁸ m / s, this speed decreases when entering a material medium,
v = c / n
where n is the refractive index, but in this case the refractive index of air is n = 1.00002. The refractive index of a vacuum is n = 1, so we can assume that the change in velocity is negligible.
For the calculation we can use the relations of the uniform motion
v = x / t
x = v t
let's calculate
x = 3 10⁸ 0.12
x = 3.6 10⁷ m
