After a ball bounces off from the ground, its velocity at t seconds is v(t)=45-30t feet per second. (a) How long does it take for the ball to reach the maximum height? seconds (b) What is the maximum height? feet

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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.