Question

sam is driving on the freeway at a constant speed. he speeds up to pass a truck. he then slows down to exit the freeway. using three segments, sketch a possible graph that shows sams speed versus time.

Explanation:

Step1: First segment - constant speed

Draw a horizontal line to represent Sam driving at a constant speed. The speed value remains the same over time, so the graph is a straight - line parallel to the time - axis.

Step2: Second segment - speeding up

Draw a line with a positive slope starting from the end of the first segment. This represents Sam increasing his speed to pass the truck. As time progresses, the speed value on the y - axis increases.

Step3: Third segment - slowing down

Draw a line with a negative slope starting from the end of the second segment. This represents Sam decreasing his speed to exit the freeway. As time progresses, the speed value on the y - axis decreases until it reaches a lower value (possibly close to zero if he stops).

Answer:

A graph with three segments: a horizontal line for constant speed, a line with positive slope for speeding up, and a line with negative slope for slowing down.