Suppose we have a model for how far \(d\) (in feet) the dragster has travelled from the starting line for any time \(t\) between zero and ten seconds after it started the pass, and that model for the distance is given by a function \(f\) of time as \[ d \;=\; f(t) = t^3 + 32t\,. \] How fast was the dragster going exactly five seconds into the pass?