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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

50 m

b

75 m

c

100 m

d

125 m

answer is D.

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Detailed Solution

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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=0.36h
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, we get

0.64h=12g(t1)2   ......(ii)

From (i) and (ii), we get t=5 sec and h=125 m.

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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