Question

synthesize create a graph titled \speed changing over time\ to show the acceleration of a car. include a label with units for each axis. draw a line on the graph to show how the speed of the car changes with time. include parts of your graph that represent the car speeding up, slowing down, and moving at a constant speed. label each part.

Explanation:

Step1: Define axes

The x - axis represents time (t) with units of seconds (s), and the y - axis represents speed (v) with units of meters per second (m/s).

Step2: Draw speeding - up part

Draw an upward - sloping straight line to represent the car speeding up. The slope of this line is positive, indicating acceleration. Label this part "Speeding up".

Step3: Draw constant - speed part

Draw a horizontal straight line to represent the car moving at a constant speed. The slope of this line is 0, indicating zero acceleration. Label this part "Constant speed".

Step4: Draw slowing - down part

Draw a downward - sloping straight line to represent the car slowing down. The slope of this line is negative, indicating deceleration. Label this part "Slowing down".

Step5: Title the graph

Write the title "Speed Changing Over Time" at the top of the graph.

Answer:

A graph with x - axis labeled "Time (s)", y - axis labeled "Speed (m/s)", an upward - sloping line labeled "Speeding up", a horizontal line labeled "Constant speed", a downward - sloping line labeled "Slowing down", and titled "Speed Changing Over Time".