In physics, there are special states that we care about. One of these is the initial conditions of a problem. This is just the answer to the question "what are the position and velocity of all of the objects in the problem at the beginning of the problem?" Often this just means, what are the position and velocity at t $=0?$

So$,$ now I$\text{'}$m going to give you the same equation as the one above, but instead I'll fill in the numbers:

$($t$)=19\mathrm{.}2$ mph $+[22$ mi$/$hr$2]$ t $-[381$ mi$/$hr$3]$ t$2$

This and the fact that the billboard is $1000\text{'}$ away, should be enough for you to figure out the initial conditions for this problem.

Write the initial conditions for this problem.

$($a$)$ What is the initial position of the truck?

x $(0)=$