Case Study: The Chase Scenario A truck is traveling at a constant speed of 20 m/s through a school zone. At time t = 0 seconds, he passes a hidden police car that is at rest. Five seconds after the truck passes, the police car begins accelerating at a constant rate of 2 m/s? in order to catch the truck. velocity vs. Time Using Representations 46 PART A: On the axis at right, sketch and label graphs of the velocity of the truck and the police car as functions of 35 time for the first 40 seconds after the truck passes the hidden police car. Use different colors or different lines (e.g., dashed vs. solid) to differentiate between the 25 velocity (mis truck and the police car. Include a key. . Police . Truck Data Analysis x 563 : 360 (5! PART B: 10 i. Using the graph you made in Part A, determine the time at which the speed of the truck is equal to the speed of the police car. Mark this time as t, 10 15 20 25 30 35 40 time is) ii. How will the positions of the police car and the truck compare when they have the same speed and why? the cars will most a the same post?! be cause one car is accelerating and theother has a instant up PART C: Explain in a short sentence or two how you could use the graph you made in Part A to determine the time at which the truck and the police car are in the same location. The two cars will be at the somme position when the two linesment. 20