A stone let fall from the top of a tower tranverses a distance of 24.5m in the last second of its fall. Find the height of the tower ?
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Answer:
Let the total height of the tower is h and the total time is taken to reach the ground is t.
The height is given as
h=1/2 gt²
The height before last seconds is given as,
h−24.5=1/2× g(t-1)²
Solving it
t=3s
Substitute the value of t in the equation (1), we get
1/2× 9.8 ×3²
h=44.1m
Thus, the height of the tower is 44.1m
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