Solution to 2001 Problem 24

Since air resistance is being ignored, there is no force in the horizontal direction. Therefore, the x-component of the particle's velocity is constant. We are told that the stone is thrown in the +x direction. Therefore, the x-component of the velocity must be positive. Therefore, graph II represents v_x versus t. The y-component of the particle's velocity vector is initially positive, but it decreases at a constant rate due to the force of gravity, and eventually becomes negative. Therefore, graph III represents v_y versus t. Therefore, answer (C) is correct.

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