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A car passes a parked motorcycle at a constant speed of 80.0 km/h. At the moment the car passes by, the motorcycle begins accelerating at a constant rate of 5.00 m/s2.

(a) How long does it take the motorcycle to catch the car?

(b) How fast is the car traveling at this time? Is it traveling at the same speed as the motorcycle? If no, is this a contradiction? Explain.

(c) How far has the car traveled in this time? How far has the motorcycle traveled? Are these two distances the same, or different? Should they be the same or different? Why or why not?

(d) Sketch an x − t diagram and a v − t diagram for the car and the motorcycle. You may draw the curves for the motorcycle and car on the same plot.


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