Momentum and CollisionHardBloom L3

Question

A ball is projected from ground with a velocity V at an angle θ to the vertical. On its path it makes an elastic collision with a vertical wall and returns to ground. The total time of flight of the ball is

Options

A.$\frac{2v\sin\theta}{g}$
B.$\frac{2v\cos\theta}{g}$
C.$\frac{v\sin 2\theta}{g}$
D.$\frac{v\cos\theta}{g}$

Solution

Sol.

vertical direction of motion is not affected due to collision

∴ $t = T = \frac{2v\sin(90 - \theta)}{g} = \frac{2u\cos\theta}{g}$

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