## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 3 - Problems - Page 116: 81

#### Answer

Relative to an observer riding in the Stanley Steamer, the x-component of the Pierce Arrow's velocity is 50 km/h Relative to an observer riding in the Stanley Steamer, the y-component of the Pierce Arrow's velocity is -40 km/h

#### Work Step by Step

We can write the Stanley Steamer's velocity relative to the road in component from: $v_{sr} = 40~ \hat{j}~km/h$ We can write the Pierce Arrow's velocity relative to the road in component from: $v_{pr} = 50~\hat{i}~km/h$ We can find the Pierce Arrow's velocity $v_{ps}$ relative to the Stanley Steamer: $v_{pr} = v_{ps}+v_{sr}$ $v_{ps} = v_{pr} - v_{sr}$ $v_{ps} = (50~ \hat{i}-40~\hat{j})~km/h$ Relative to an observer riding in the Stanley Steamer, the x-component of the Pierce Arrow's velocity is 50 km/h Relative to an observer riding in the Stanley Steamer, the y-component of the Pierce Arrow's velocity is -40 km/h

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