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?

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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,= cekv.
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(t) 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?
Transcribed Image Text: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,= cekv. 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(t) 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?
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