Question:

A bird is tossing (flying to and fro) between two cars moving towards each other on a straight road. One car has speed of $ 27 \,km\, h^{-1} $ while the other has the speed of $ 18 \,km \,h^{-1} $ . The bird starts moving from first car towards the other and is moving with the speed of $ 36\, km \,h^{-1} $ when the two cars were separated by $ 36 \,km $ . The total distance covered by the bird is

Updated On: Jul 5, 2022
  • $ 28.8\,km $
  • $ 38.8\,km $
  • $ 48.8\,km $
  • $ 58.8\,km $
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The Correct Option is A

Solution and Explanation

Velocity of car $ A $ , $ v_A = + 27\, km \,h^{-1} $ Velocity of car $ B $ , $ v_B = -18 \,km \,h^{-1} $ Relative velocity of car $ A $ with respect to car $ B $ $ =v_{A}-v_{B}+27\,km\,h^{-1}-\left(-18\,km\,h^{-1}\right)=45\,km\,h^{-1} $ Time taken by the two cars to meet $ =\frac{36\,km}{45\,km\,h^{-1}}=0.8\,h $ Thus, distance covered by the bird $ = 36\, km\, h^{-1} \times 0.8\, h = 28.8 \,km $
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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.