Question

a school shuttle increases its speed in a parking lot. then it moves at a constant speed for a while. then it slows down as it approaches a stop sign. using three segments, sketch a possible graph that shows the shuttles speed versus time.

Explanation:

Step1: Initial acceleration

The shuttle starts from rest in the parking - lot and increases its speed. So, the speed - time graph will have a positive slope in the first segment, starting from the origin (since initial speed is 0) and going upwards as time increases.

Step2: Constant speed

Then it moves at a constant speed. On a speed - time graph, a constant speed is represented by a horizontal line. The slope of this line is 0 as there is no change in speed with time.

Step3: Deceleration

Finally, it slows down as it approaches a stop. This is shown by a negative slope on the speed - time graph, where the speed decreases as time increases until the speed reaches 0 again.

Answer:

Draw a graph with time on the x - axis and speed on the y - axis. Start at the origin (0,0). Draw a line with a positive slope for the first segment to represent acceleration. Then draw a horizontal line for the second segment to represent constant speed. Finally, draw a line with a negative slope for the third segment to represent deceleration until the line reaches the x - axis (where speed = 0).