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What is the relationship between the velocity and acceleration of an object?

A. If the velocity and acceleration are the same sign, the object is speeding up.
B. If the velocity and acceleration are opposite signs, the object is slowing down.
C. Both A and B are correct.
D. None of the above are correct.

1 Answer

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Final answer:

The answer to the question is C. Both A and B are correct. The velocity and acceleration relationship determines if an object is speeding up or slowing down. If they have the same sign, it is speeding up; if opposite, it is slowing down. Therefore, both A and B are correct answers.

Step-by-step explanation:

The relationship between the velocity and acceleration of an object is as follows: If the velocity and acceleration are the same sign, the object is speeding up. Conversely, if the velocity and acceleration are opposite signs, the object is slowing down. This slowing down is colloquially referred to as deceleration, but in physics, it is still considered acceleration, just in the opposite direction of the velocity.

For example, if a car is moving to the right (positive direction) and the acceleration is also to the right (positive), then the car is speeding up. If the car's velocity is to the right but the acceleration is to the left (negative), then the car is slowing down. This same logic applies if the initial direction of motion is to the left: a negative acceleration would speed up the car, while a positive acceleration would slow it down.

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