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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

In a putting game, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 1.0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 2–47) is more difficult than from a downhill lie. Assume that on a particular green, the ball constantly decelerates at1.8m/s2going downhill and at2.6m/s2going uphill to see why. Suppose you have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities you may impart to the ball so that it stops in the range 1.0 m short to 1.0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What, in your results, suggests that the downhill putt is more difficult?

FIGURE 2-47 Problem 70

Describe in words the motion plotted in Fig. 2-32 in terms of velocity, acceleration, etc. [Hint: First try to duplicate the motion plotted by walking or moving your hand.]

A car traveling at 95 km/h is 210 m behind a truck traveling at 75 km/h. How long will it take for the car to reach the truck?

A runner hopes to complete the 10,000-m run in less than 30.0 min. After running at constant speed for exactly 27.0 min, there are still 1200 m to go. The runner must then accelerate at0.20ms-2for how many seconds in order to achieve the desired time?

Suppose a car manufacturer tested its cars for front-end collisions by hauling them up on a crane and dropping them from a certain height. (a) Show that the speed just before a car hits the ground, after falling from rest a vertical distance H, is given by2gH. What height corresponds to a collision at (b) 35 km/h (c) 95 km/h.
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