An object thrown vertically upward from the surface of a celestial body reaches a height of f (t) = − t^2 + 30t meters after seconds on the interval [0,30].  (i) What was the object’s acceleration at seconds t=15 seconds? (ii) At what time was the velocity of the object meters/second -15 meters/second?

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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.