Q.

A ball is thrown vertically upwards with a velocity of 20m/sec from the top of multistorey building. The height of the point from where the ball is thrown is 25.0 m from the ground.
a) How high will the ball rise ? and
b) How long will it be in air before the ball hit’s the ground ? Take g = 10ms-2.

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Detailed Solution

 a) u=20ms1,g=10ms2

from the surface of projection,
hmax=u22g=(20)22(10)=20×2020=20m

From the ground,

Hmax=20+25=45 m
b) h = 25m, u = 20ms-1, g = 10m
h=ut+12gt225=20t+1210t225=20t+5t25t220t25=0t24t5=0t25t+t5=0t(t5)+1(t5)=0(t+1)(t5)=0t=1, 5 sec t=5 sec

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