First slide

Projectile motion

Question

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

Moderate

A

Zero slope and zero curvature
B

Zero slope and non-zero curvature
C

Positive slope and zero curvature
D

None of these

Solution

The vertical displacement vs. time graph has the same form as the trajectory of the particle. At the topmost point, the slope is zero, but the curvature is non-zero (Figure).

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