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 =vie–ct, 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