a stone is dropped from the top of a tower 96 metre tall at the same instant and the stone is thrown vertically upwards from the foot of the tower with the velocity of 24 metre per second when and where will the two stones meet?
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Answer:
80 m from top after 4 sec
Explanation:
a stone is dropped from the top of a tower 96 metre tall at the same instant and the stone is thrown vertically upwards from the foot of the tower with the velocity of 24 metre per second when and where will the two stones meet?
Let say after t sec both stones meets
Using S = ut + (1/2)at²
Distance Traveled by stone dropped
= 0*t + (1/2)gt²
= gt²/2
Distance Traveled by stone thrown upward
= 24*t + (1/2)(-g)t²
= 24t - gt²/2
Distance of both = tower height = 96 m
gt²/2 + 24t - gt²/2 = 96
=> t = 4 sec
Distance from top of tower = g(4)²/2 = 8g = 80 m
Distance from foot = 96 - 80 = 16 m
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