The motor of a speed boat is shut off when it has attained a speed of vo. Now the boat is slowed down by retarding force F,= cek". Where c and k are constants. 1. Calculate the velocity v(t) of the motor as a function of time. 2. Calculate the position x(1) of the motor as a function of time. 3. How long will it take for the boat to stop? 4. How much distance will it travel before stopping?

The motor of a speed boat is shut off when it has attained a speed of vo. Now the boat is slowed down by retarding force F,= cek". Where c and k are constants. 1. Calculate the velocity v(t) of the motor as a function of time. 2. Calculate the position x(1) of the motor as a function of time. 3. How long will it take for the boat to stop? 4. How much distance will it travel before stopping?