A stone is dropped from the top of a tower travels 25 m in the last second of it's motion of g=10ms^2 height of the tower is?
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Answer:
45m
Explanation:
Distance travelled in the last second of its motion is 25m
We know that,
'S' in nth second of its motion = u + a/2 (2n-1)
So in this problem ,
S in nth second = 0 + g/2(2n-1)
25 = g/2 (2n-1)
5 = 2n - 1
n=3 So its total time of descent is 3 seconds
For a freely falling body,
h = 1/2 gt²
= 1/2 × 10 × 9
= 45 m ⇒ this is the height of the tower
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