Question:

A particle shows distance - time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

Updated On: Apr 25, 2024
  • D
  • A
  • B
  • C
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The Correct Option is D

Solution and Explanation

Because the slope is highest at C, v = $ \frac{dx}{dt}$ is maximum.
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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