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in Physics by (67.5k points)

A motorboat of mass m moves along a lake with velocity v0. At the moment t = 0 the engine of the boat is shut down. Assuming the resistance of water to be proportional to the velocity of the boat F = —rv, find:

(a) how long the motorboat moved with the shutdown engine;

(b) the velocity of the motorboat as a function of the distance covered with the shutdown engine, as well as the total distance covered till the complete stop;

(c) the mean velocity of the motorboat over the time interval (beginning with the moment t = 0), during which its velocity decreases it times.

1 Answer

+1 vote
by (83.9k points)
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Best answer

Integrating within the given limits to obtain v(s):

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