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At t = 0 a car is stopped at a traffic light. When the light toms green, the car starts to speed up, and gains speed at a constant rate until it reaches a speed of 20 m/s 8 seconds after the light toms green. The car continues at a constant speed for 60 m. Then the driver sees a red light up ahead at the next intersection, and starts slowing down at a constant rate. The car stops at the red light, 180mfrom where it was at t = O.
(a) Draw accurate x-t, v.-t, and a.-t graphs for the motion of the car.
(b) In a motion diagram (like Figs. 2.13b and 2.14b), show the position, velocity, and acceleration of the car at 4 s after the light changes, while traveling at constant speed, and while slowing down
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