A particle reaches its highest point when it has covered exactly one half of its horizontal range. The corresponding point on the vertical displacement-time graph is characterised by:

Zero slope and zero curvature

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Zero slope and non-zero curvature

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Positive slope and zero curvature

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None of these

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Solution

The correct option is C Zero slope and non-zero curvature
The vertical displacement $v s$ time graph has the same from as the trajectory of the particle.
At the topmost point, the slope is zero, but the curvature is non-zero

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D) Non-zero velocity and non-zero acceleration	IV) Body on reaching point of projection

a = 2 s

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