A car is stopped at a red light. When the light turns green, the car begins to
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A car is stopped at a red light. When the light turns green, the car begins to accelerate with a constant acceleration of 4.0 m/s2. Just as the car starts moving, it is passed by a small truck traveling uniformly with a speed of 12 m/s.
(a) If each vehicle continues to move as described, find the distance traveled by each after 1 s, 3 s, 5 s, and 7 s. Assume t = 0 just as the truck passes the car.
(b) Plot the data for each vehicle on the same distanceversus-time graph and determine the approximate time at which the car overtakes the truck. Can you see a way to solve this problem algebraically to find the precise time using only the kinematic equations?
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