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99 Percentile Qs Bank for JEE MainPhysicsMotion in Two Dimensions

A particle P is projected from a point on the surface of a smooth inclined plane (see figure). Simultaneously another particle Q is released on the smooth inclined plane from the same position. P and Q collide on the inclined plane after t = 4 seconds. Find the speed of projection in m/s .

Correct answer

10

Step-by-step solution

It can be observed from figure that P and Q shall collide if the initial component of velocity of P and Q on inclined plane i.e along incline should be equal. That is particle is projected perpendicular to incline. ∴ Time of flight T = 2 u ⊥ g cos θ = 2 u g cos θ ∴ u = g T cos θ 2 = 1 0 m / s

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