Question

Jessup can throw a ball a maximum distance (measured horizontally from the point of release) of...

Jessup can throw a ball a maximum distance (measured horizontally from the point of release) of D. (a) To what maximum distance can he toss the same ball (vertically) upwards? (b) In which situation does the ball spend more time in the air? How much longer is this (express your answers multiples of the shorter time) than the other time?

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Answer #1

a) The range of projectile motion is maximum when the angle of projectile motion is 45 dergees

Let the initial velocity be v. Then

OR

Suppose the ball is thrown upwards with the initial velocity v. Then the height reached by the ball is

Therefore the maximum distance at which he toss the same ball (vertically) upwards is h = D/2

b) Time spent in air when the ball is thrown as projectile motion is

Time spent in air when the ball in thrown vertically upwards is

which is greater than the time spent in air when the ball is thrown as projectile motion

Therefore

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