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Chapter 2: Q14CQ (page 79)

Is it possible for velocity to be constant while acceleration is not zero? Explain.

Short Answer

Expert verified

No, it is not possible for velocity to be constant while acceleration is not zero.

Step by step solution

01

What is Acceleration

The rate at which an object's velocity changes with respect to time is known as acceleration.

The item experiences acceleration whenever its velocity changes.

As a result, anytime the magnitude or direction of velocity changes, a non-zero value of acceleration is associated with it.

02

Constant velocity will give Zero acceleration

Acceleration is a vector quantity. Its direction and magnitude depend upon the velocity vector.

The direction of acceleration is the same as that of the change in velocity.

Hence if there is no change in velocity, there would not be acceleration.

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Most popular questions from this chapter

A coin is dropped from a hot-air balloon that is 300m above the ground and rising at 10.00 m/s upward. For the coin, find (a) the maximum height reached, (b) its position and velocity 4.00 s after being released, and (c) the time before it hits the ground.

Consider the velocity vs. time graph of a person in an elevator shown in Figure 2.58. Suppose the elevator is initially at rest. It then accelerates for, maintains that velocity for, then decelerates foruntil it stops. The acceleration for the entire trip is not constant so we cannot use the equations of motion from Motion Equations for Constant Acceleration in One Dimension for the complete trip. (We could, however, use them in the three individual sections where acceleration is a constant.) Sketch graphs of

(a) position vs. time and

(b) acceleration vs. time for this trip.

Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain.

a) Explain how you can use the graph of position versus time in Figure 2.54 to describe the change in velocity over time.

Identify

(b) the time ( ta, tb , tc , td , or te ) at which the instantaneous velocity is greatest,

(c) the time at which it is zero, and

(d) the time at which it is negative.

Figure 2.54

A football quarterback runs 15.0 m straight down the playing field in 2.50 s. He is then hit and pushed 3.00 m straight backward in 1.75 s. He breaks the tackle and runs straight forward another 21.0 m in 5.20 s. Calculate his average velocity (a) for each of the three intervals and (b) for the entire motion.
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