(See Steps) Let s(t)=-t^2+2 t+3. Find the average velocity of s(t) between t=0 and t=3. Find the instantaneous velocity of s(t) at t=2 using the definition
Question: Let \(s(t)=-t^{2}+2 t+3\).
- Find the average velocity of \(s(t)\) between \(t=0\) and \(t=3\).
- Find the instantaneous velocity of \(s(t)\) at \(t=2\) using the definition of the derivative.
- Find an equation of the tangent to the curve at \(t=2\).
- Find the point on \(s(t)\) making the tangent line be horizontal.
Deliverable: Word Document 
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