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Chapter 3: Problem 4

What is the difference between the velocity and speed of an object moving in a straight line?

Short Answer

Expert verified
Answer: The main difference between velocity and speed is that velocity is a vector quantity with both magnitude and direction, while speed is a scalar quantity with only magnitude and no direction. In the context of an object moving in a straight line, the speed is the absolute value of its velocity, and the direction of movement is represented by the sign of the velocity value.

Step by step solution

01

1. Definition of Velocity

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. Velocity has a magnitude (speed) and a direction. The unit of velocity is meters per second (m/s).
02

2. Definition of Speed

Speed is a scalar quantity that represents the magnitude of an object's velocity, without taking into account its direction. It measures how fast an object is moving. Speed has no direction and is always positive. The unit of speed is meters per second (m/s).
03

3. Example of Velocity and Speed

Suppose an object is moving in a straight line from point A to point B in a positive direction with a constant speed of 5 m/s. The velocity of this object is represented as +5 m/s, where the positive sign indicates the direction. This object has a speed of 5 m/s and a positive velocity of +5 m/s. Now, let's imagine that the object is moving from point B back to point A, but again with a constant speed of 5 m/s. This time, however, the velocity would be represented as -5 m/s, since the movement is in the negative direction. The object still has a speed of 5 m/s, but the velocity is now -5 m/s.
04

4. Difference between Velocity and Speed

The difference between velocity and speed can be summarized as follows: 1. Velocity is a vector quantity, while speed is a scalar quantity. 2. Velocity has both magnitude (speed) and direction, while speed only has magnitude and no direction. 3. The values of velocity can be positive or negative depending on the direction of movement, while the values of speed are always non-negative. In the context of an object moving in a straight line, the speed is the absolute value of its velocity, and the direction of movement is represented by the sign of the velocity value.

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Most popular questions from this chapter

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