Question:

A particle reaches its highest point at an instant of covering 1/2 of range. The corresponding position on displacement-time graph is characterised by.

Updated On: Jul 5, 2022
  • negative slope and zero curvature
  • positive slope and zero curvature
  • zero slope and negative curvature
  • zero slope and positive curvature.
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The Correct Option is D

Solution and Explanation

At the highest point there is no slope but curvature is positive .
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration