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
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B
Zero slope and negative curvature
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C
Zero slope and positive curvature
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D
Positive slope and zero curvature
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Solution
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.