A projectile is fired vertically upward into the air, its position (in feet) above the ground after t seconds is given by the function s(t) shown below. Use limits to determine the instantaneous velocity of the projectile at t= a seconds for the given value of a. s(t) = - 16t + 36t; a = 1 The instantaneous velocity at t = 1 is

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Q: The motion of a particle is described by the position function s(t) = t³ - 12t² + 36t, t > 0 where s…

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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.