Find the maximum height and the range of the ball.

In summary, the problem provides the acceleration due to gravity on the moon as 1.62m/s^2 and asks to find the maximum height (H) and range (R) of a ball kicked on the moon. The equation H=-Voy^2/2(Ay) can be used, but the initial velocity and angle are not given. The example in the book uses an initial velocity of 14 m/s on earth and 5.5 m/s on the moon. Without this information, only the ratios of H and R on the moon to those on earth can be determined.
  • #1
afcwestwarrior
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0

Homework Statement

The acceleration due to gravity on the moon has a magnitude of 1.62m/s^2. Assume that the ball is kicked on the moon instead of on the earth. Find(a) the maximum height H and (b) the range that the ballwould attain on the moon.
acceleration=1.62 m/s^2
H=?
R=?
Vy=0 m/s
Voy=?


Homework Equations


H=-Voy^2/ 2(Ay)



The Attempt at a Solution



Ok I have no Idea what the initial velocity is, so how can I calculate this problem.
 
Last edited:
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  • #2
Are you sure you've given all the information stated in the question?
 
  • #3
Well here's the original question. Review Interactive Learning Ware 2.3 at www.wiley.com/college/cutnell in preparation for this problem. The acceleration due to gravity on the moon has a magnitude of 1.62m/s^2. Assume that the ball is kicked on the moon instead of on the earth. Find(a) the maximum height H and (b) the range that the ballwould attain on the moon.
acceleration=1.62 m/s^2
 
  • #4
then it says look at example 6-8 in your book. I know what equation to use, but the question only gives me gravity.
 
  • #5
One would need the initial velocity and angle with respect to horizontal.

Otherwise one can only determine the ratios of R and H on the moon with respect to the corresponding R and H on earth, assuming the same initial velocity and angle.

Is there a reference to a similar problem on the earth?
 
  • #6
ok in the examples the initial velocity of the football is 14 m/s on earth
 

1. What is the maximum height of the ball?

The maximum height of the ball is the highest point that the ball reaches during its trajectory.

2. How is the maximum height of the ball calculated?

The maximum height of the ball is calculated using the formula h = (V^2 * sin^2θ) / 2g, where V is the initial velocity of the ball, θ is the angle of projection, and g is the acceleration due to gravity.

3. What factors affect the maximum height of the ball?

The maximum height of the ball is affected by the initial velocity of the ball, the angle of projection, and the acceleration due to gravity. Air resistance and wind can also have an impact.

4. How is the range of the ball calculated?

The range of the ball is calculated using the formula R = (V^2 * sin2θ) / g, where V is the initial velocity of the ball, θ is the angle of projection, and g is the acceleration due to gravity.

5. How do you determine the angle of projection for maximum height and range?

The angle of projection for maximum height and range can be determined by using the equation tanθ = (Vy/Vx), where Vy is the vertical component of the initial velocity and Vx is the horizontal component of the initial velocity. The angle that satisfies this equation will give the maximum height and range.

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