A car is stopped at a traffic light. The light turns green, and at time t = 0 the car starts moving and travels with a constant acceleration. At that instant a truck traveling at constant v_{t} is alongside the car, with the front of c. d = 0 each vehicle at position.x x = 0 as shown above. The truck passes , but the car later catches up to the truck in front of a house, such that at time t_{D} the front of each vehicle is at position x = D
a) sketch and label graphs of the velocity of the car and truck as a function of time. Indicate any important velocities or times
b) Student I says, "The distance traveled by the car and the truck is the same, and the time is the same, so they must have the same speed." Student 2 says, - I don’t see how that can be. The car catches up to the truck, so the car has to be going faster."
Which aspects of Student I's reasoning, if any, are correct? Support your answer in terms of relevant features of your graphs in part (a).
Which aspects of Student 2's reasoning, if any, are correct? Support your answer in terms of relevant features of your graphs in part (a).
c)Derive an expression for the acceleration of the car. Express your answer in terms of D and v sub t
