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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

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.

Consider a grey squirrel falling out of a tree to the ground.

(a) If we ignore air resistance in this case (only for the sake of this problem), determine a squirrel’s velocity just before hitting the ground, assuming it fell from a height of 3.0 m.

(b) If the squirrel stops in a distance of 2.0 cmthrough bending its limbs, compare its deceleration with that of the airman in the previous problem.

On May 26, 1934, a streamlined, stainless steel diesel train called the Zephyr set the world’s nonstop long-distance speed record for trains. Its run from Denver to Chicago took 13hours,4minutes,58seconds , and was witnessed by more than a million people along the route. The total distance travelled was 1633.8km. What was its average speed in km/hand m/s?

Bacteria move back and forth by using their flagella (structures that look like little tails). Speeds of up to 50 µm/s (50×10-6 m/s) have been observed. The total distance travelled by a bacterium is large for its size, while its displacement is small. Why is this?
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