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Chapter 3: Problem 3

Can an object have a southward acceleration while moving northward? A westward acceleration while moving northward?

Short Answer

Expert verified
Yes, an object can have a southward acceleration while moving northward, and it can also have a westward acceleration while moving northward. Acceleration pertains to changes in velocity, not direction of movement. Thus, an object can be moving in one direction (determined by its velocity) but accelerating in a different one.

Step by step solution

01

Understanding Acceleration versus Velocity

Acceleration is a change in velocity, which can be either a change in speed or a change in direction. So, an object can still accelerate in one direction while its velocity carries it in another direction. The direction of the acceleration does not necessarily need to be the same as the direction of the velocity.
02

Analyzing the First Scenario: Southward Acceleration While Moving Northwards

An object can indeed have a southward acceleration while moving northward. If an object is moving northward but is slowing down, it has a southward acceleration. This is because acceleration is not about the motion of the object, but rather about how that motion is changing - more specifically, how the velocity is changing. If the object is moving north but slowing down, its velocity (speed in the north direction) is decreasing. This decrease is a negative change, or a southward acceleration.
03

Analyzing the Second Scenario: Westward Acceleration While Moving Northwards

Likewise, an object can have a westward acceleration while moving northward. In this case, the object's direction of motion changes, which is an acceleration. As the object turns westward, this indicates a change in velocity and hence, can be described as a westward acceleration.

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