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Chapter 3: Problem 4

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, this would in effect slow down the object's northward motion. Similarly, an object can have a westward acceleration while moving northward, which would cause the object to change direction towards the west while it continues moving.

Step by step solution

01

Understand Directional Movement and Acceleration

Acceleration of an object is a vector, meaning it has both magnitude and direction. The direction of acceleration doesn't depend on the direction of motion. An object moving in one direction can experience acceleration in another. Additionally, acceleration occurs whenever an object's speed or direction is changing.
02

Analyze Scenario 1: Southward acceleration while moving northward

An object can indeed be moving in one direction (northward, in this case) while experiencing an acceleration in the opposite (southward) direction. This southward acceleration would cause the object to slow down in its northward motion. The object is still moving north, but it's slowing down because the acceleration (change in velocity) is acting in the opposite direction that the object is moving.
03

Analyze Scenario 2: Westward acceleration while moving northward

In this scenario, an object is moving northward, but then gains an acceleration to the west. Like in previous step, the direction of acceleration doesn't preclude the direction of motion. The object would begin to veer westwards, effectively changing direction while still moving. It's important to note that acceleration can also cause change of direction in addition to change in speed.

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