A stone is dropped by a person from The top of a building .which is 200m tall. At the same time. Another stone is thrown upwards. With a velocity of 50m/s.why the person standing at the roof of the building. Find the time after which two stones meet?
Note:Use silmultaneous equation
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Given A stone is dropped by a person from The top of a building .which is 200 m tall. At the same time. Another stone is thrown upwards. With a velocity of 50 m/s.why the person standing at the roof of the building. Find the time after which two stones meet?
- Let distance travelled by stone 1 be x and stone 2 be y.
- We know the equation of motion
- S = u t + 1/2 at^2
- Stone 1
- x = 0 x t^2 + 1/2 gt^2
- x = 1/2 gt^2
- Now stone 2
- y = 50 t + 1/2 (-g)t^2
- y = 50 t – 1/2 gt^2
- x + y = 200
- 1/2 gt^2 + 50 t – 1/2 gt^2 = 200
- t = 200 / 50
- t = 4 sec
- x = 1/2 x 9.8 x 16
- x = 78.4 m
- y = 200 – x
- y = 200 – 78.4
- y = 121.6 m
- The stones meet after 4 secs at a height of 121.6 m from bottom of tower.
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