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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鈫�1=40j^km/hand v鈫�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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Most popular questions from this chapter

Figure 3-33 shows two vectors,A鈫�andB鈫�, Whose magnitudes are A = 6.8 units and B = 5.5 units. DetermineC鈫�if (a)C鈫�=A鈫�+B鈫�(b)C鈫�=A鈫�-B鈫�(c)C鈫�=B鈫�-A鈫�. Give the magnitude and direction for each.

Figure 3-33 Problem 7

Raindrops make an angle胃with the vertical when viewed through a moving train window (Fig. 3鈥�52). If the speed of the train isvT, what is the speed of the raindrops in the reference frame of the Earth in which they are assumed to fall vertically?

A football is kicked at ground level with a speed of18.0m/sat an angle of31.0掳to the horizontal. How much later does it hit the ground?

For the vectors shown in Fig. 3鈥�35, determine (a)B鈫�-3A鈫�and (b)2A鈫�-3B鈫�+2C鈫�.

FIGURE 3-35

A car travels at 10 m/s to the east. Another car travels 10 m/s to the north. The relative speed of the first car with respect to the second is

(a) less than 20 m/s.

(b) exactly 20 m/s.

(c) more than 20 m/s.
See all solutions

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