A stone is allowed to fall from the top of tower 100 metre high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25ms−1. The two stones will meets after
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Given,
Distance = 100 m
Velocity = 25 m/s
Now, When stone dropped from Tower.
=> S = ut + 1/2 gt^2
=> S = 0 + 1/2 x 10 x t^2
=> S = 5t^2 ----------- (1)
Again, When stone projected upward.
=> 100-S = ut - 1/2 gt^2
=> 100-S = 25t - 1/2 x 10 x t^2
=> 100-S = 25t - 5t^2
=> 100- 25t +5t^2 = S
=> S = 100-25t+5t^2 --------- (2)
Adding both equations:-
S = 100-25t+5t^2
- S = 5t^2
_________________________
=> 0 = 100-25t
=> 25t = 100
=> t = 100/25
=> t = 4s
Hence, Both stone will meet after 4s
Distance = 100 m
Velocity = 25 m/s
Now, When stone dropped from Tower.
=> S = ut + 1/2 gt^2
=> S = 0 + 1/2 x 10 x t^2
=> S = 5t^2 ----------- (1)
Again, When stone projected upward.
=> 100-S = ut - 1/2 gt^2
=> 100-S = 25t - 1/2 x 10 x t^2
=> 100-S = 25t - 5t^2
=> 100- 25t +5t^2 = S
=> S = 100-25t+5t^2 --------- (2)
Adding both equations:-
S = 100-25t+5t^2
- S = 5t^2
_________________________
=> 0 = 100-25t
=> 25t = 100
=> t = 100/25
=> t = 4s
Hence, Both stone will meet after 4s
prashant2793:
thank you for helping me
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