On planet Delta a ball is thrown upward from a height of 50 meters with an initial velocity of 21 meters per second. The height of the ball at time t seconds is given by s(t)=- 2t + 21t + 50. Use proper units! (a) Find the average velocity over the time interval[4,9]. (b) Find the instantaneous velocity at time t=9. Was the ball moving upward or downward at that time? (c) Find the acceleration at time t=9.

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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.