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Chapter 2: Q17CQ (page 79)

Plus and minus signs are used in one-dimensional motion to indicate direction. What is the sign of an acceleration that reduces the magnitude of a negative velocity? Of a positive velocity?

Short Answer

Expert verified

Positive (+) is the sign of an acceleration that lowers the amount of a negative velocity.Negative is the sign of an acceleration that decreases the amount of a positive velocity ( - ).

Step by step solution

01

Acceleration of an object

Acceleration of an object is the change in the velocity of the body to that of the time taken to do that change.

The unit of acceleration will be m/s2

The rate of change in the velocity of an item per unit of time is called acceleration.

The direction of the item is indicated by its negative velocity, which indicates that it is moving backward, and its positive velocity shows that it is moving ahead.

02

Acceleration that reduces the magnitude of the velocity

The sign of an acceleration that diminishes the magnitude of a negative velocity-A negative velocity is an item that moves in the opposite direction. The rearward direction is known as the negative direction.

The object's acceleration is decreasing while its velocity is decreasing.

As a result, in this scenario, the sign of the acceleration should be positive.

The sign of an acceleration that lowers the magnitude of a positive velocity-A positive velocity is an item that travels in a positive direction.

The advancing direction is the positive direction.

The object's acceleration is decreasing, but its velocity is increasing.

As a result, for diminishing acceleration with positive velocity, the sign of the acceleration should be negative.

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