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**[SOLVED] Acceleration and Velocity differential equations**

Hey I am having trouble solving this problem.

The 1997 Dodge Viper has mass 1547 kg and an engine that can produce a maximum driving force of 12.36 kN. Suppose drag is proportional to speed such that k = 164 Ns/m.

(a) Determine the initial acceleration of the Viper from rest. (b) Determine the maximum speed (i.e. terminal velocity). (c) Calculate the distance and speed for t = 12.2 s. (d) Find time and distance for the car to reach 99% of its top speed.

I know you have to do something with an integral but I really dont know how. I have to explain this problem to the class tomorrow. so help on this would be much appreciated.