Question:

In one dimensional motion, instantaneous speed $ v $ satisfies $ 0 \le v < v_0 $ .

Updated On: Jul 6, 2023
  • The displacement in time $ T $ must always take non-negative values
  • The displacement $ x $ in time $ T $ satisfies $ - v_0T < x < v_0T $
  • The acceleration is always a non-negative number
  • The motion has no turning points
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The Correct Option is B

Solution and Explanation

The maximum distance covered in time $ T=v_0T $ . Therefore, for the object having one dimensional motion, the displacement $ x $ in time $ T $ satisfies $ - v_0T < x < v_0T $ .
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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.