A motorboat starts from rest (initial velocity v(0) v 0 0) Its motor provides a constant acceleration of 4 ft s 2 but water resistance causes a deceleration of v 2 400 ft s 2 Find v when t 10 s, and also find the limiting velocity as t (that is, the maximum possible speed of the boat) ...

1 The initial value problem for the velocity of the motorboat ...

A motorboat starts from rest (initial velocity v(0) = v 0 = 0). Its motor provides a

Question:

A motorboat starts from rest (initial velocity v(0) = v₀ = 0). Its motor provides a constant acceleration of 4 ft/s² but water resistance causes a deceleration of v²/400 ft/s². Find v when t = 10 s, and also find the limiting velocity as t → + ∞ (that is, the maximum possible speed of the boat).

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