A rocket is fired into the air from a table that is 3 feet above the ground with an initial velocity of 100 feet per second. This means that the position function is: h(t)=-16t^2 +100t+3 where the time t is measured in seconds. a)Find the velocity of the rocket when t= 2 seconds. b)Find the acceleration of the object when t = 2 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.