The driver of a jet-propelled car is hoping to break the world record for ground-based travel of 341 m/s. The car goes from rest to its top speed in 26.5 seconds, undergoing an average acceleration of 13.0 m/s2. Upon reaching the top speed, the driver immediately puts on the brakes, causing an average acceleration of −5.00 m/s2, until the car comes to a stop. (a) What is the car's top speed? (b) How long will the car be in motion?
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