Question

5. Graph A below plots a race car's speed for 5 seconds. The car's rate of acceleration is 6 m/s^2

6. Graph B below plots the same car's speed for a different
5-second interval. The car's acceleration during this interval is 12 m/s^2

Answer 1

The answer is below

Step-by-step explanation:

We are to check if the statement is true of false. If it is false, we correct the statement.

Solution:

Acceleration is the time rate of change of velocity. It is the ratio of the change in velocity to the change in time. The acceleration can be gotten from a velocity time graph by finding the slope of the graph.

The x coordinate represent the time and the y coordinate velocity.

5) Graph A passes through the point (0, 0) and (4, 24). Therefore the acceleration (slope) is:

Acceleration =
`(24-0)/(4-0)=6\ m/s^2`

This is correct.

6) Graph B is a straight line of 12 m/s. It passes through (0, 12) and (4, 12). Hence:

Acceleration =
`(12-12)/(4-0)=0\ m/s^2`

This is false.

Therefore the acceleration of graph B is 0 m/s².