If a ball is thrown vertically upward with a velocity of 144 ft/s, then its height after t seconds is s = 144t – 16t2. (a) What is the maximum height reached by the ball? ft (b) What is the velocity of the ball when it is 320 ft above the ground on its way up? (Consider up to be the positive direction.) ft/s What is the velocity of the ball when it is 320 ft above the ground on its way down? ft/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.