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Chapter 2: Q3. (page 41)

If one object has a greater speed than a second object, does the first necessarily have a greater acceleration? Explain, using examples.

Short Answer

Expert verified

No, because there is no relationship between the magnitude of speed and the magnitude of acceleration.

Step by step solution

01

Step 1. Meaning of acceleration

Acceleration is the rate at which an object changes its velocity. It has both direction and magnitude, and its value can be positive, negative, or zero.

02

Step 2. Examples for explaining the given condition

An object can have a large speed with constant velocity. In this case, its acceleration remains zero. An object can also have a small speed but with gain. In this case, its acceleration is positive.

Here, the object with the greater speed has lesser acceleration.

Consider two objects are dropped from rest at different times. By ignoring air resistance, the object dropped first has a greater speed than the second one, but both have the same acceleration.

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Most popular questions from this chapter

While coming to a stop, a car leaves a skid mark of 65 m in length on the highway. Assuming a deceleration of 4.00 m/s2, estimate the speed of the car just before pushing the brake.

If you are driving at 95 km/h along a straight road, and you look to the side for 2.0 s, how far do you travel during this inattentive period?

A car slows down from 28 m/s to rest at a distance of 88 m. What is its acceleration, assumed constant?

A sports car accelerates approximately as shown in the velocity-time graph of Fig. 2-43. (The short flat spots in the curve represent manual shifting of the gears.) Estimate the car’s average acceleration in (a) second gear and (b) fourth gear.

FIGURE 2-43Problem 56. The velocity of a car as a function of time, starting from a dead stop. The flat spots in the curve represent gear shifts.

A car slows down uniformly from a speed of 28.0 m/s to rest in 8.0 s. How far does it travel in this time?
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