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Question: Two cars A and B are running at velocities of 60 km h<sup>-1</sup> and 45 km h<sup>-1</sup>. What is...

Two cars A and B are running at velocities of 60 km h-1 and 45 km h-1. What is the relative velocity of a car A with respect to car B, if car A is moving eastward and car B is moving westward?

A

15 km h-1

B

45 km h-1

C

60 km h-1

D

105 km h-1

Answer

105 km h-1

Explanation

Solution

W⟶+W \longrightarrow +

Velocity of car A w.r.t. ground VAG=60kmh−1V_{AG} = 60kmh^{- 1}

Velocity of car B w.r.t. groundVAG=−45kmh−1V_{AG} = - 45kmh^{- 1}

Relative velocity of car A w.r.t. car B is

VAB=VAG+VGB=VAG−VBG(∵VGB=−VBG)=60kmh−1−(−45kmh−1)=150kmh−1V_{AB} = V_{AG} + V_{GB} = V_{AG} - V_{BG} (\because V_{GB} = - V_{BG}) = 60kmh^{- 1} - ( - 45kmh^{- 1}) = 150kmh^{- 1}