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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.