in the last second of freefall, body covers 3/4th of the total height of tower. From what height did it fall and how long was it in air?
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Let the total time in free fall be t. Then, the distance covered just before the last second would be 1/4th the total distance, or t-1 seconds.
h(t)=1/2 gt²
h(t-1)=1/2g(t-1)²
1/4(1/2 gt²)=1/2 g(t-1)²
g/2t²=2g(t²-2t+1)
t²=4t²-8t+4
3t²-8t+4=0
(3t-2)(t-2)=0
t=2/3 or 2
We can ignore the 2/3rds seconds, and get a value for t as 2 seconds. So, the body fell for 2 seconds, and covered 4.9(4), or 19.6m
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hi agniv are you from West Bengal?
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