A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time: $x = 0.25t^3 + t^2 + 2t$, where \textit{x} and \textit{t} are expressed in feet and seconds, respectively. \textit{x} is measured along the surface of the hill. Determine the position, velocity, and acceleration of the boarder when $t = 4.0$ seconds.
The position, velocity, and acceleration of the boarder are $oxed{ ext{ }}$ ft, $oxed{ ext{ }}$ ft/s, and $oxed{ ext{ }}$ ft/s$^2$, respectively when $t = 4.0$ seconds
