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Question

A cart moves with a constant speed along a horizontal circular path. From the cart, a particle is thrown up vertically with respect to the cart. Which of the following statements is(are) correct?

A
The particle will land somewhere on the circular path.
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B
The particle will land outside the circular path.
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C
The particle will follow an elliptical path.
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D
The particle will follow a parabolic path.
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Solution

The correct options are
A The particle will land outside the circular path.
D The particle will follow a parabolic path.
The particle will land outside the circle because its initial velocity in horizontal direction is in the tangential direction and its point of projection is somewhere at the circumference of the circle.
Also its path will be parabolic because it is a case of projectile motion with velocity in horizontal as well as vertical direction.

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