Question:

The $x-t$ plot shown in the figure below describes the motion of the particle, along $x-axis$, between two positions $A$ and $B$. The particle passes through two intermediate points $P_1$ and $P_2$ as shown in the figure

Updated On: Jun 6, 2022
  • The instantaneous velocity is positive at $P_1$ and negative at $P_2$
  • The instantaneous velocity is negative at both $P_1$ and $P_2$
  • The instantaneous velocity is negative at $P_1$ and positive at $P_2$
  • The instantaneous velocity is positive at both $P_1$ and $P_2$
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The Correct Option is A

Solution and Explanation

According to the figure, the displacement at point $P_{1}$ is increasing, so velocity at $P_{1}$ will be positive.
At point $P_{2}$, displacement is decreasing, so the instantaneous velocity will be negative.
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Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.