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Question

A body falls freely from a tower and travels a distance of 40 in its last two seconds. The height of the tower is

A
54 m
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B
45 m
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C
80 m
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D
65 m
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Solution

The correct option is B 45 m
Let the body fall through the height of the tower in t seconds.
From equation of motion we have
S=ut+12gt2 , here u= 0 as the body is free falling
H=12gt2
Where H is the height of the tower. The distance covered by the body in t2 seconds is H=12g(t2)2
Now, according to question HH'=40 m
Assuming g as 10 m/s2
t2(t2)2=8
4(t1)=8
t=3 seconds
Now, the height of tower
Therefore, option B is correct.

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