Question

Ordinary Differential Equations

A 3200-lb car is moving at 64 ft/s down a 30-degree grade when it runs out of fuel. Find its
velocity after that if friction exerts a resistive force with magnitude proportional to the square of
the speed, with k = 1 lb-s² /ft2. Also find its terminal velocity.
6.
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Transcribed Image Text

A 3200-lb car is moving at 64 ft/s down a 30-degree grade when it runs out of fuel. Find its velocity after that if friction exerts a resistive force with magnitude proportional to the square of the speed, with k = 1 lb-s² /ft2. Also find its terminal velocity. 6.

-4t
40(13 + Зе 41/5)
4.3.6 (p. 160) v = -
; -40 ft/s
13— Зе-4t/5
Expand
Transcribed Image Text

-4t 40(13 + Зе 41/5) 4.3.6 (p. 160) v = - ; -40 ft/s 13— Зе-4t/5

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