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

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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I have reached the point in this problem where I have the equation v(8) = 50 tanh (8/10) but am unable to solve from here.

v²
500
A motorboat starts from rest (initial velocity v(0)=v₁ = 0). Its motor provides a constant acceleration of 5 ft/s², but water resistance causes a deceleration of
also find the limiting velocity as t→ + ∞ (that is, the maximum possible speed of the boat).
-ft/s² .Find v when t = 8 s, and
Transcribed Image Text:v² 500 A motorboat starts from rest (initial velocity v(0)=v₁ = 0). Its motor provides a constant acceleration of 5 ft/s², but water resistance causes a deceleration of also find the limiting velocity as t→ + ∞ (that is, the maximum possible speed of the boat). -ft/s² .Find v when t = 8 s, and
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