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Chapter 3: Q1. (page 67)

One car travels due east at40km/h, and a second car travels north at40km/h. Are their velocities equal? Explain.

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Step 2. Identification of the given data

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

You can write the velocities of the cars as v→1=40j^km/hand v→2=40i^km/h.

03

Step 3. Comparison of the velocities

Here, both cars have the same magnitude of velocities, i.e.,40km/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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