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Chapter 2: Q7. (page 41)

Give an example where both the velocity and acceleration are negative.

Short Answer

Expert verified

The velocity and acceleration are negative when the car is traveling in the negative x-direction and speeding up.

Step by step solution

01

Step 1. Meaning of velocity

The rate of change in the displacement of a body is known as the velocity of the body. It is a vector quantity.

In other words, the slope of the displacement versus time graph represents the velocity of the body.

02

Step 2. Citing an example where both the velocity and acceleration are negative

Consider the positive y-axis as the upward direction and the negative y-axis as the downward direction.

When an object is released from a certain height, it falls downward. The object's velocity is downward and negative while it is increasing in magnitude. Hence, the object’s acceleration is negative.

Therefore, the object falling from a certain height has negative velocity and negative acceleration.

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Most popular questions from this chapter

A stone is thrown vertically upward with a speed of15.5m/sfrom the edge of a 75.0 m high cliff (Fig. 2–48).

(a) How much later does it reach the bottom of the cliff?

(b) What is its speed just before hitting?

(c) What total distance does it travel?

FIGURE 2-48Problem 71.

Can the velocity of an object be negative when its acceleration is positive? What about vice versa? If yes, give examples in each case.

What must your car’s average speed be in order to travel 235 km in 2.75 h?

Can an object have a northward velocity and a southward acceleration? Explain.

Digital bits on an audio CD of diameter 12.0 cm are encoded along an outward spiraling path that starts at radius R1= 2.5 cmand finishes at radius R2= 5.8 cm. The distance between the centers of the neighbouring spiral windings is 1.6 μ m = 1.6 × 10-6 m.

(a) Determine the total length of the spiral into a straight path [Hint: Imagine ‘unwinding’ the spiral and the straight path of width 1.6 μ m, and note that the original spiral and the straight path both occupy the same area.]

(b) To read information, a CD player adjusts the rotation of the CD so that the player’s readout laser moves along the spiral path at a constant speed of about 1.2 m/s. Estimate the maximum playing time of such a CD.
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