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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

A horse trots away from its trainer in a straight line, moving 38 m away in 9.0 s. It then turns abruptly and gallops halfway back in 1.8 s. Calculate (a) the average speed and (b) its average velocity for the entire trip, using ‘away from the trainer’ as the positive direction.

In the design of a rapid transit system, it is necessary to balance the average speed of a train against the distance between station stops. The more stops there are, the slower the train’s average speed. To get an idea of this problem, calculate the time it takes a train to make a 15.0-km trip in two situations: (a) the stations at which the trains must stop are 3.0 km apart (a total of 6 stations, including those at the ends); and (b) the stations are 5.0 km apart (4 stations total). Assume that at each station the train accelerates at a rate of1.1m/s2until it reaches95km/h, then stays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at2m/s2. Assume it stops at each intermediate station for 22 s.

A light plane must reach a speed of 35 m/s for takeoff. What length of a runway is needed if the (constant) acceleration is 3.0 m/s2?

Two locomotives approach each other on parallel tracks. Each has a speed of 155 km/h with respect to the ground. If they are initially 8.5 km apart, how long will it be before they reach each other? (See Fig. 2-35.)

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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