Question:

A car travels first half distance between the places with a speed of $30\, km \,h^{-1}$ and remaining half with a speed of $50\, km \, h^{-1}$. The average speed of car is

Updated On: Jul 5, 2022
  • $37.5\,km\,h^{-1}$
  • $10\,km\,h^{-1}$
  • $42\,km\,h^{-1}$
  • $40\,km\,h^{-1}$
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The Correct Option is A

Solution and Explanation

$\upsilon_{av} = \frac{S}{\frac{(S/1)}{30} + \frac{(S/2)}{50}}= 37.5 \, km \, hr^{-1}$
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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.