The velocity V of a free-falling object is directly proportional to the time T (in seconds) that the object has fallen. The velocity of a falling object is - 64 feet per second after the object has fallen for 2 seconds. Find the velocity of the object after it has fallen for a total of 4 seconds.

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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.