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
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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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