Question:

Which one of the following represents uniformly accelerating motion.

Updated On: Jul 7, 2022
  • $x=\sqrt{\frac{t-a}{b}}$
  • $x=\frac{t-a}{b}$
  • $t=\sqrt{\frac{x-a}{b}}$
  • $x=\sqrt {t+a}$
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The Correct Option is C

Solution and Explanation

compare with $s = ut + \frac{1}{2} at^2$
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Notes on Motion in a straight line

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.