Question

Please help me with this problem. im just a bit stuck. thank you!

Answer 1

Equation of the heihgt of the object h(t):

`h(t)=-16t^2+154t+83`

To find the instantaneous velocity find the derivate of the function h(t):

`\begin{gathered} (d)/(dt)h(t)=(d)/(dt)-16t^2+(d)/(dt)154t+(d)/(dt)83 \\ \\ (d)/(dt)h(t)=-16(d)/(dt)t^2+154(d)/(dt)t+0 \\ \\ (d)/(dt)h(t)=-16(2)(t)+154 \\ \\ (d)/(dt)h(t)=-32t+154 \end{gathered}`

The instantaneous velocity is:

`\bar{v}(t)=-32t+154`

Find the instantaneous velocity at t=9: