A ball is launched from the ground at an angle of 65∘ above the horizontal with...

A ball is launched from the ground at an angle of 65∘ above the horizontal with a velocity of 22m/s. The ball hits the ground some distance away at a given speed, and bounces back up. When it does so the amplitude of both the x and y components of its velocity are half what they were. This repeats with the ball losing half of it’s speed on each bounce.

a) Sketch the problem.

b) Write the equation of motion (position as a function of time) for the x- and y-directions and identify all known quantities.

c) At which position, (x,y), is the ball when it lands on the ground for the first time?

d) How many times will the ball bounce before the maximum height of its trajectory is less than 1m.

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Expert Solution

genius_generous answered 5 days ago

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