Question

A ball is kicked with an initial velocity of 20 m/s at an angle of 30o...

A ball is kicked with an initial velocity of 20 m/s at an angle of 30o above the horizontal. Calculate the following:

  1. At what speed does the ball hit the ground?
  2. For how long does the ball remain in the air?
  3. What maximum height is attained by the ball?

Homework Answers

Answer #1

initial speed = 20m/s

initial angle = 30 degree

a) using conservation of enrgy tells us that the speed with which the ball hits the ground is same as that with which it was thrown because there is no change in the potential energy.

Thus , the ball hits the ground with a speed = 20 m/s

b) using the formula for the time of flight of a projectile = 2U*Sin(theta)/g

= 2*20*Sin(30)/9.8

= 2.04 seconds

c) using the formula for maximum height of a projectile = [Usin(theta)]^2/2g

H_max = [20*sin(30)]^2/(2*9.8)

H_max = 5.1 m

Please ask your doubts or queries in the comment section below.

Please kindly upvote if you are satisfied with the solution.

Thank you.

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