An object is thrown straight up with a velocity, in ft/s, given by v(t) = -32t + 65, where t is in seconds, from a height of 48 feet. a) What is the object's initial velocity? b) What is the object's maximum velocity? c) What is the object's maximum displacement? d) When does the maximum displacement occur? e) When is the object's displacement 0? ) What is the object's maximum height?

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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.