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Chapter 2: Q5. (page 41)

Can an object have a northward velocity and a southward acceleration? Explain.

Short Answer

Expert verified

Yes, an object moving in a northward direction can have a southward acceleration.

Step by step solution

01

Step 1. Definitions of velocity and acceleration

Velocity is the rate at which an object is displaced from one location to another. Acceleration is the rate at which the object changes its velocity.

02

Step 2. Example for a detailed explanation of the given condition

If the car is moving northward and slowing down, the acceleration is southward (opposite to the direction of motion). When the car slowing down in the northward direction, it is deaccelerating.

03

Step 3. Meaning of deceleration

The velocity of a car moving along the positive y-axis is positive. If the car slows down, the acceleration is negative in the negative y-direction. Deceleration occurs when the magnitude of the velocity decreases and velocity and acceleration point in opposite directions.

Therefore, an object moving in a northward direction can have a southward acceleration.

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Most popular questions from this chapter

Give an example where both the velocity and acceleration are negative.

Determine the stopping distance for an automobile going at a constant initial speed of 95 km/h and a human reaction time of 0.40 s (a) for accelerationa =-3.0 m/s2and (b) fora =-6.0 m/s2.

A car traveling at 95 km/h strikes a tree. The front end of the car compresses, and the driver comes to rest after traveling 0.80 m. What was the magnitude of the average acceleration of the driver during the collision? Express the answer in terms of ‘g’s’, where 1.00 g = 9.80 m/s2.

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

If particle A at t1=-2.0s is at x1=4.8cm, and at t2=4.5s is at x2=8.5cm, what is its average velocity over this time interval? Can you calculate its average speed from these data? Why or why not?
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