Find the instantanous velocity

[[Nicolette]]

1. The problem statement, all variables and given/known data

Find the instantaneous velocity at t=1 by computing v(1)= [h(1+\Deltat)-h(1)]/\Deltat

I found that v(1)= -8ft/sec. Also I know h(1)=24 but i dont understand how to manipulate the h(1+\Deltat) to get the solution.


2. Relevant equations

h(t)=16+24t-16t2


3. The attempt at a solution

The solution the teacher gave is v(1)=-8-16t\Delta

[rootX]

What's h(1+dt)? Substitute (1+dt) into the h(t) equation.. and put everything in the v(1)= [h(1+dt)-h(1)]/dt equation. If you expand the equation and do some algebra you will eventually get the answer