On Earth, in the absence of air, the rock reach a height of s = 24t – 4.9t² meters in t seconds. a) Find the rock's velocity and acceleration at time t. b) How long would it take the rock to reach its highest point? c) How high would the rock go?

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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.