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Question

# A ball is projected from top of a table with initial velocity u at an angle θ with the horizontal as shown in the figure. The motion of image of ball with respect to the ball will be (Consider the plane mirror of sufficient height)

A
a projectile
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B
straight line along vertical direction
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C
straight line along horizontal direction
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D
straight line or projectile depends on angle θ
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Solution

## The correct option is C straight line along horizontal directionThe velocity and acceleration of the image and object have been shown below in the figure. Relative acceleration between image and object, →aIO=0 Velocity of image w.r.t object, →vIO=→vI−→vO ⇒→vIO=−ucosθ^i+usinθ^j−(ucosθ^i+usinθ^j) ⇒→vIO=−2ucosθ^i Thus, →vIO is along negative x -direction. Hence, the path of motion is a straight line along x axis or horizontal.

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