Question

The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative.

Answer 1

@insatiablesuffering @justjm

Answer 2

The instantaneous velocity function can be found by taking the derivative of the position function. \(v(t)=s'(t)\)

\[s(t)=-9-5t\]
\[v(t)=s'(t)=-5\]
Now you can find \(v(4)=s'(4)\)...this should be simple because you don't have to substitute t=4 anywhere