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Physics Principles with Applications
Found in: Page 67
Physics Principles with Applications

Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

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Short Answer

One car travels due east at 40 km/h, and a second car travels north at 40 km/h. Are their velocities equal? Explain.

No, their velocities are not the same because both cars have different directions.

See the step by step solution

Step by Step Solution

Step 1. Definition of velocity

Velocity is a vector quantity having both magnitude and direction. It is defined as the rate of change of displacement of an object with time.

Step 2. Identification of the given data

The first car travels eastward at 40 km/h. The second car moves along the north direction at 40 km/h.

You can write the velocities of the cars as v1=40j^ km/h and v2=40i^ km/h.

Step 3. Comparison of the velocities

Here, both cars have the same magnitude of velocities, i.e.,40 km/h. However, their directions are not the same; one is moving along the east and the other toward the north. If two vectors have different directions, they are said to be unequal.

Thus, the velocities of these cars are not equal.

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