Question

A motorboat cuts its engine when its speed is 10.2 m/s and coasts to rest.

A motorboat cuts its engine when its speed is 10.2 m/s and coasts to rest. The equation describing the motion of the motorboatduring this period is v =viect, where v is the speed attime t, vi is the initial speed, and c is a constant. At t = 20.5 s, the speed is 5.00 m/s.

(a) Find the constant c.
s-1

(b) What is the speed at t = 40.0 s?
m/s
(c) Differentiate the expression for v(t) and thus show that the acceleration of the boat is proportional to the speed at any time.ce-ctcvi-cvcvie-ct-ce-ctcv

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