Question:

If a car covers $2/5^{th}$ of the total distance with $v_1$ speed and $3/5^{th}$ distance with $v_2$ then average speed is

Updated On: Jul 6, 2022
  • $\frac{1}{2}\sqrt{\nu_1 \nu_2}$
  • $\frac{\nu_1+\nu_2}{2}$
  • $\frac{2\nu_1 \nu_2}{\nu_1+\nu_2}$
  • $\frac{5\nu_1 \nu_2}{3\nu_1+2\nu_2}$
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The Correct Option is D

Solution and Explanation

$Avg$ speed = $\frac{total \, distance}{total \, times}$
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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.