Question

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

• A. Negative slope and zero curvature
• B. Zero slope and negative curvature
• C. Zero slope and positive curvature
• D. Positive slope and zero curvature

Answer 1

Answer: (B), (C)

The correct options are
B Zero slope and negative curvature
C Zero slope and positive curvature

At the highest point projectile motion, the tangent drawn is parallel to x-axis. Hence, slope at this point is zero. Moreover, the curve is convex upwards, hence curvature is positive at this point.