If a ball is thrown in the air starting at position a (fromthe
ground) with an initial velocity of 80 m/s and given thatthe time
it takes to travel to point b is t=3s, what is thetime,
displacement and velocity at positions b (half way up in theair), c
(at max height) and d (back on ground).

Explanation:

Given

initial velocity of ball at ground

Distance traveled in t=3 sec is given by

h=distance traveled

u=initial velocity

a=acceleration

t=time

Maximum Height is obtained when final velocity

using

where v=final velocity

time taken to reach maximum height

using

therefore total time will be twice of time required to reach at maximum height

time taken to reach point D is

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