1. Draw the corresponding velocity vs. time and acceleration vs. time graph for the given position vs. time graph.

A car initially at rest accelerates at 2 m/s² for 2 seconds (t = 0 s to t = 2 s), travels at a constant velocity of 4 m/s for 2 seconds (t = 2 s to t = 4 s), then slows to a stop over the next 3 seconds (t = 4 s to t = 7 s). Construct a velocity graph and motion map for the car. Include velocity and acceleration vectors on the motion map.

a) How fast is the car moving at t = 1.5 s? Show all work and calculations.

b) What is the car's displacement from t = 2s to t = 7s? Show all work and calculations.