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Calc 1 Reimann Sum/Definite Integral

Police chase: A speeder traveling 45 miles per hour (in a 25 mph zone) passes a stopped police car which immediately takes off after the speeder. If the police car speeds up steadily to 60 miles/hour in 20 seconds and then travels at a steady 60 miles/hour, how long and how far before the police car catches the speeder who continued traveling at 45 miles/hour?


I don't know where to start. I know that there is the dy/dx of the first 20 seconds of the police car speeding up, but beyond that I'm confused on where to go next.

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