Question

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?

Answer 1

Answer:

Positive sign for negative velocity and minus sing for positive velocity

Explanation:

In the case of the negative velocity, the sign of the acceleration that reduces its magnitude is the positive sign, since being in the opposite direction  to the movement indicates a deceleration or braking. In the case of the positive velocity, the sign of the acceleration that reduces its magnitude is the negative sign, since being in the  opposite direction to the movement indicates a deceleration or braking. We observe that there will always be a reduction in the magnitude of the velocity if the acceleration goes in the opposite direction.

Answer 2

Acceleration of a object is the rate of change of velocity of the object per unit time.

• a) The sign of an acceleration that reduces the magnitude of a negative velocity is positive ( + ).

• b) The sign of an acceleration that reduces the magnitude of a positive velocity is negative ( - ).

What is the acceleration of a object?

Acceleration of a object is the rate of change of velocity of the object per unit time.

Negative velocity of the object indicates the direction of object is backward and positive velocity of the object indicates the direction of object is forward.

• a) The sign of an acceleration that reduces the magnitude of a negative velocity-An object which moves in the negative direction, has the negative velocity. negative direction is the backward direction. As the acceleration of the object is reducing thus but the velocity is negative. Therefore the sign of the acceleration should be positive for this case.

• b) The sign of an acceleration that reduces the magnitude of a positive velocity-An object which moves in the positive direction, has the positive velocity. Positive direction is the forward direction. As the acceleration of the object is reducing thus but the velocity is positive. Therefore the sign of the acceleration should be negative for the reducing acceleration with positive velocity.

Hence,

• a) The sign of an acceleration that reduces the magnitude of a negative velocity is positive ( + ).

• b) The sign of an acceleration that reduces the magnitude of a positive velocity is negative ( - ).

Learn more about the acceleration here;

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