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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鈥檚 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 dropped from the top of a cliff. It is seen to hit the ground below after 3.55 s. How high is the cliff?

You drop a rock off a bridge. When the rock has fallen 4m, you drop a second rock. As the two rocks continue to fall, what happens to their velocities?

(a) Both increase at the same rate.

(b) The velocity of the first rock increases faster than the velocity of the second.

(c) The velocity of the second rock increases faster than the velocity of the first.

(d) Both velocities stay constant.

A ball is dropped from the top of a tall building. At the same instant, a second ball is thrown upward from the ground level. When the two balls pass one another, one on the way up, the other on the way down, compare the magnitudes

of their acceleration:

(a) The acceleration of the dropped ball is greater.

(b) The acceleration of the ball thrown upward is greater.

(c) The acceleration of both balls is the same.

(d) The acceleration changes during the motion, so you cannot predict the exact value when the two balls pass each other.

(e) The accelerations are in opposite directions.

A car traveling at 75 km/h slows down at a constant 0.50 m/s2 just by 鈥榣etting up on the gas鈥�. Calculate (a) the distance the car coasts before it stops, (b) the time it takes to stop, and (c) the distances it travels during the first and the fifth seconds.

For an object falling freely from rest, show that the distance traveled during each successive second increases in the ratio of successive odd integers (1, 3, 5, etc.). (This was first shown by Galileo.) See Figs. 2鈥�19 and 2鈥�22.
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