# Can you help with velocity of a boat please.?

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After switching off the engine of a speedy motorboat, the acceleration of the boat follows the equation, #color(red)(a=-Kv^3"; "K="constant".# Show that , after #t# time from switching the engine off, the velocity of the boat is #color(green)(v=v_0/(sqrt(1+2K cdot t cdot v_0 ^2)),# #v_0= # initial velocity while switching the motor to the off position.

After switching off the engine of a speedy motorboat, the acceleration of the boat follows the equation,

##### 1 Answer

Apr 1, 2018

#### Answer:

See below.

#### Explanation:

If

now considering