Q.

A body falls freely from the top of a tower. It covers 36% of the total height in the last second before striking the ground level. The height of the tower is 

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a

125 m

b

75 m

c

100 m

d

50 m

answer is D.

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Detailed Solution

Let height of tower is h and body takes t time to reach to ground when it fall freely.

h=12gt2 .......... (i)

In last second i.e. tth sec body travels = 0.36 h

It means in rest of the time i.e. in (t-1) sec it travels

=h0.36h=0.64h

Now applying equation of motion for (t – 1) sec

0.64h=12g(t1)2 ....... (ii)

From (i) and (ii) we get,

t=5sec and  h=125m.

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A body falls freely from the top of a tower. It covers 36% of the total height in the last second before striking the ground level. The height of the tower is