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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

A car A is moving with speed 40kmh^ - 1 along a straight line 30 °...

A car A is moving with speed 40kmh−140kmh^{- 1} along a straight line 30°30 ° north of east and another car B is moving with same speed along a straight line 30°30 ° south of east. The relative velocity of car A as observed from the car B isA car A is moving with speed 40kmh^ - 1 along a straight line 30 ° north of east and another car B is moving with same

Options

  1. A40kmh−140kmh^{- 1}& north-east
  2. B40kmh−140kmh^{- 1}& south
  3. C40kmh−140kmh^{- 1}& north
  4. D40kmh−140kmh^{- 1}& south-east

Correct answer

C. 40kmh−140kmh^{- 1}& north

Step-by-step solution

A car A is moving with speed 40kmh^ - 1 along a straight line 30 ° north of east and another car B is moving with same

\overset{→}{V}A = 40cos {30}^{o}\overset{^}{i} + 20\overset{^}{j}

{\overset{→}{V}}_{B} = 40cos {30}^{o}\overset{^}{i} - 20\overset{^}{j}

∴ \overset{→}{V}AB = \overset{→}{V}A - \overset{→}{V}B = 40\overset{^}{j}

The relative velocity of car A as observed from car B is 40kmh−140kmh^{- 1}& north

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