As you approach the dock, you cut the engine of your motorboat and allow it to c

Question

As you approach the dock, you cut the engine of your motorboat and allow it to coast toward the dock. The speed of the boat during this time is given by v- ve-kt where v, is the speed of the boat at t = 0, v is its speed at time t, and k is a constant. The speed at the moment you cut the engine is 14.0 m/s and its speed at t = 17.2 s is 6.80 m/s. (Assume that the initial velocity of the boat is pointing in the positive direction.) (a) How fast are you moving at t32.0 s? 3.65 m/s (b) Determine the equation that describes the acceleration of the boat. (Use the following as necessary: k, v. Indicate the direction with the sign of your answer.) kt What is the calculus definition of acceleration? (c) What is the acceleration of the boat at t32.0 s? (Indicate the direction with the sign of your answer.) 0.153m/s2 Additional Materials eBook

Explanation / Answer

b] acceleration is rate of change n velocity.

a = dv/dt = -kvi e-kt

  you forgot "i" subscript

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