Question:

Two cars are travelling towards each other on a straight road at Velocities 15 m/s and 16 m/s respectively. When they are 150m apart, both the drivers apply the brakes and the cars decelerate at $3 m/s^2\, and \,4 m/s^2$ Until they stop. Separation between the cars when they come to rest is

Updated On: Jul 7, 2022
  • 86.5 m
  • 89.5 m
  • 85. 5 m
  • 80 .5 m
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The Correct Option is D

Solution and Explanation

$y^2 - u^2 = 2as$ (twice)
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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.