Question

The following data describes the motion of a car over a three minute period.
Which of the following statements regarding the car's motion is TRUE?

Question options:

A. The velocity of the car changed, but not the speed.

B. The speed of the car changed, but not the velocity.

C. The velocity and the speed of the car changed.

D. The velocity and the speed of the car stayed the same.

Answer 1

C. The velocity and the speed of the car changed.

Explanation:

First of all, let's remind the definitions of speed and velocity:

- Speed is a scalar quantity, equal to the ratio between the distance covered and the time taken to cover that distance:

$speed = \frac{distance}{time}$

Therefore, speed does not take into account the direction of motion

- Velocity is a vector quantity, with both a magnitude and a direction. The magnitude is equal to the ratio between the displacement of the object and the time taken:

$velocity = \frac{displacement}{time}$

and the direction is the direction of the displacement. It must be noted that in case of linear motion (motion along a straight line), the magnitude of the velocity corresponds to the speed.

From the table in this problem, we observe that:

- The speed of the car changes over time (from 10 m/s to 12 m/s and then to 14 m/s)

- This means that also the velocity of the car also changes, because the speed (which is the magnitude of the velocity) changes

Therefore, the correct answer is

C. The velocity and the speed of the car changed.

Learn more about speed and velocity:

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