How quickly something speeds up

If an object is slowing down, that means it exhibits negative acceleration. Does this mean that it also suddenly switches to negative velocity?

Not enough information to answer

Physics Applications To Derivatives

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| By Jwm9q

Jwm9q

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Quizzes Created: 2 | Total Attempts: 831

Questions: 5 | Attempts: 163 | Updated: Mar 19, 2023

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Questions and Answers

1.

Acceleration is the derivative of:
- A.
  
  Distance
- B.
  
  Velocity
- C.
  
  Neither of these
Correct Answer
C. Neither of these

Explanation
Acceleration is the derivative of velocity. The derivative of a function represents its rate of change, and in the case of velocity, the derivative represents the rate at which an object's velocity is changing. Distance, on the other hand, is not directly related to acceleration.

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2.

Velocity is:
- A.
  
  How far away something is
- B.
  
  How quickly something speeds up
- C.
  
  How fast something is going
Correct Answer
C. How fast something is going

Explanation
Velocity is a measure of how fast something is going. It refers to the speed at which an object is moving in a particular direction. It is different from distance, which measures how far away something is, and acceleration, which measures how quickly something speeds up. Velocity takes into account both the speed and direction of an object's motion, providing a comprehensive understanding of its movement.

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3.

The derivative of 4x is:
- A.
  
  4
- B.
  
  0
- C.
  
  4x^2
Correct Answer
A. 4

Explanation
The derivative of 4x is 4 because when we take the derivative of a term with a variable raised to the power of 1 (in this case, x), the coefficient of the variable remains the same. Therefore, the derivative of 4x is simply the coefficient 4.

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4.

If an object is slowing down, that means it exhibits negative acceleration. Does this mean that it also suddenly switches to negative velocity?
- A.
  
  Yes
- B.
  
  No
- C.
  
  Not enough information to answer
Correct Answer
B. No

Explanation
When an object is slowing down, it means that its velocity is decreasing. However, this does not necessarily mean that its velocity suddenly switches to negative. The object could simply be decreasing its positive velocity, eventually reaching a velocity of zero. Therefore, the statement "it also suddenly switches to negative velocity" is not always true.

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5.

If velocity is represented on a graph as a positively sloped straight line, acceleration is shown as:
- A.
  
  A horizontal line above 0
- B.
  
  A horizontal line at 0
- C.
  
  An upward curved line
- D.
  
  A vertical line
Correct Answer
A. A horizontal line above 0

Explanation
When velocity is represented as a positively sloped straight line on a graph, it indicates constant speed in a specific direction. If the acceleration is shown as a horizontal line above 0, it means that there is a constant positive acceleration. This implies that the object is continuously speeding up in the same direction, but at a constant rate.

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Current Version
Mar 19, 2023

Quiz Edited by
ProProfs Editorial Team
Dec 21, 2010

Quiz Created by
Jwm9q

Physics Applications To Derivatives

Acceleration is the derivative of:

Velocity is:

The derivative of 4x is:

If an object is slowing down, that means it exhibits negative acceleration. Does this mean that it also suddenly switches to negative velocity?

If velocity is represented on a graph as a positively sloped straight line, acceleration is shown as: