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

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

G1 Physics · Accepted Answer

At the highest point, the vertical displacement y(t) is maximum. Therefore dy/dt = 0, so the displacement-time graph has zero slope. Also d²y/dt² = -g < 0, so its curvature is negative. Hence option B.