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 27 \,km\, h^{-1} while the other has the speed of 18 km h−1 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 36\, km \,h^{-1} when the two cars were separated by 36 km 36 \,km . The total distance covered by the bird is

Updated On: Jul 5, 2022
  • 28.8 km 28.8\,km
  • 38.8 km 38.8\,km
  • 48.8 km 48.8\,km
  • 58.8 km 58.8\,km
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Velocity of car A A , vA=+27 km h−1 v_A = + 27\, km \,h^{-1} Velocity of car B B , vB=−18 km h−1 v_B = -18 \,km \,h^{-1} Relative velocity of car A A with respect to car B B =vA−vB+27 km h−1−(−18 km h−1)=45 km h−1 =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 =36 km45 km h−1=0.8 h =\frac{36\,km}{45\,km\,h^{-1}}=0.8\,h Thus, distance covered by the bird =36 km h−1×0.8 h=28.8 km = 36\, km\, h^{-1} \times 0.8\, h = 28.8 \,km
Was this answer helpful?
0
0

Top Questions on Motion in a straight line

View More Questions

Notes on Motion in a straight line

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.