Initial velocity means that the time will be 0 seconds.
We must derive the equation first to find velocity:
[tex] \frac{d}{dt} -16t^{2} + 19t + 110[/tex]
[tex]-32t + 19[/tex]
Because we're looking for initial velocity, t = 0. Plug this into the equation:
[tex]-32(0) + 19[/tex]
[tex]0 + 19 = 19[/tex]
The initial velocity of the rock thrown is 19 feet per second.
