Three balls of identical mass are held at height H above the ground. They are al

Question

Three balls of identical mass are held at height H above the ground. They are all shot with speed v, but A is shot vertically up, B is shot horizontally, and C is shot vertically down. Which statement is correct?

A. A will not hit the ground first, but will have the largest speed since gravity can only help.

B.   B will hit the ground first, and will therefore have the largest speed.

C.   C will hit the ground last, but that means it had the longest to speed up and therefore will have the largest speed.

D.   All three will hit the ground at the same time, with the same speeds.

E.   All three will hit the ground at different times, with the same speeds.

F. All three will hit the ground at different times, with different speeds.

A. A will not hit the ground first, but will have the largest speed since gravity can only help.

B.   B will hit the ground first, and will therefore have the largest speed.

C.   C will hit the ground last, but that means it had the longest to speed up and therefore will have the largest speed.

D.   All three will hit the ground at the same time, with the same speeds.

E.   All three will hit the ground at different times, with the same speeds.

F. All three will hit the ground at different times, with different speeds.

Explanation / Answer

velocity on reaching the ground is v = sqrt(2*g*H)

time taken by the balls is different since time taken by the ball depends on height or distance travelled

t = sqrt(2H/g)

So

the answer is E) All three will hit the ground at different times,with the same speeds

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