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A particle is dropped from point P at t...

A particle is dropped from point P at time t = 0. At the same time another particle is thrown from point O as shown in the figure and it collides with the particle P. Acceleration due to gravity is along the negative y-axis. If the two particles collide 2 s after they start, find the initial velocity `v_0` of the particle which was projected from O. Point O is not necessarily on ground.

Text Solution

Verified by Experts

The correct Answer is:
A, B
Let `v_x and v_y` be the components of `v_0` along x and y
directions.
`(v_x)(2) = 2`
`:. v_x = 1 m//s`
`v_(y) (2) =10`
or `v_(y) = 5 m//s`
`v_0 = (sqrt (v_(x)^(2)+ v_(y)^2))`
`=(sqrt26) m//s`
`tan theta = v_y//v_x = 5//1`
`:. theta = tan^(-1) (5)`.
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