Peter likes to drink coffee once its temperature reaches 60 degrees Celsius and will not burn him. Initially at time t = 0 minutes, he measured the temperature and the coffee was 89 degrees Celsius. One minute later, he measured the coffee again and it had 85 degrees. The temperature of the room (the ambient temperature) is 22 degrees. a). Derive the appropriate differential equation for this problem,   b) hence determine when should he start drinking the coffee   c) Suppose a car drives at a speed of (5 + 3t ) m/s where t is time in seconds. How far did the car get in 2 seconds (starting at t = 0 ) ? d) And how far in t =10 s?

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