Question
A ball thrown up vertically returns to the thrower after 6s. Find its position after 4s.

Answer

Ball attains the maximum height after 3s. After attaining this height, it will start falling downwards.
In this case,
Initial velocity, u = 0
Position of the ball after 4s of the throw is given by the distance travelled by it
during its downward journey in 4s - 3s = 1s.
Equation of motion, s = ut + 1/2 gt2 will give,
s = 0 × t + 1/2 × 9.8 × 12 = 4.9m
Total height = 44.1m
This means that the ball is 39.2m (44.1m - 4.9m) above the ground after 4 seconds.

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