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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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Most popular questions from this chapter

(a) Explain how you can determine the acceleration over time from a velocity versus time graph such as the one in Figure 2.56.

(b) Based on the graph, how does acceleration change over time?

(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in Figure 2.57.

(b) Identify the time or times ( ta, tb, tc , etc.) at which the acceleration is greatest.

(c) At which times is it zero?

(d) At which times is it negative?

A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is\({\bf{2}}{\bf{.10 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\), and 1.85 ms (\({\bf{1}}\;{\bf{ms = 1}}{{\bf{0}}^{{\bf{ - 3}}}}\;{\bf{s}}\)) elapses from the time the ball first touches the mitt until it stops, what was the initial velocity of the ball?

a) A light-rail commuter train accelerates at a rate of\({\bf{1}}{\bf{.35}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\). How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of\({\bf{1}}{\bf{.65}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\). How long does it take to come to a stop from its top speed? (c) In emergencies the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency deceleration in\({\bf{m/}}{{\bf{s}}^{\bf{2}}}\)?

Find the following for path C in Figure 2.59:

(a) The distance travelled.

(b) The magnitude of the displacement from start to finish.

(c) The displacement from start to finish.

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