A motorboat starts from rest (initial velocity v(0) =v, = 0). Its motor provides a constant acceleration of 4 ft/s, but water resistance causes a deceleration of 400 ft/s. Find v when t= 5 s, and also find the limiting velocity as t+o (that is, the maximum possible speed of the boat). The velocity of the motor boat, v at t = 5 s is ft/s. (Round to two decimal places as needed.)
A motorboat starts from rest (initial velocity v(0) =v, = 0). Its motor provides a constant acceleration of 4 ft/s, but water resistance causes a deceleration of 400 ft/s. Find v when t= 5 s, and also find the limiting velocity as t+o (that is, the maximum possible speed of the boat). The velocity of the motor boat, v at t = 5 s is ft/s. (Round to two decimal places as needed.)
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Transcribed Image Text:A motorboat starts from rest (initial velocity v(0) =v, = 0). Its motor provides a constant acceleration of 4 ft/s, but water resistance causes a deceleration of
400
ft/s. Find v when t= 5 s, and also find the limiting velocity as t+ o (that is, the maximum possible speed of the boat).
The velocity of the motor boat, v at t 5 s is ft/s.
(Round to two decimal places as needed.)
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