a stone is dropped from top of Tower and travels 24.5 metres in last second of its journey. find the height of tower?
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Answer:
Distance travelled in nth second is given by
S(n) = u + 0.5*g*(2n-1)
u = 0 (since the stone is dropped)
24.5 = 4.9*(2n-1)
2n-1 = 5
Solving,vwe get
n = 3s
The total time of fall = 3s
H = 0.5*g*t^2 = 0.5*9.8*9 = 44.1m
The stone was dropped from 44.1m high tower
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