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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 car A with respect to car B, if both are moving eastward?

A

15 km h-1

B

45 km h-1

C

60 km h-1

D

105 km h-1

Answer

15 km h-1

Explanation

Solution

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

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

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

VAB=VAG+VGBV_{AB} = V_{AG} + V_{GB}

=VAG−VBG= V_{AG} - V_{BG} (∵VGB=−VBG\because V_{GB} = - V_{BG})

=60kmh−1−45kmh−1=15kmh−1= 60kmh^{- 1} - 45kmh^{- 1} = 15kmh^{- 1}