A snowboarder starts from rest
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 = 0.25t3 + t2 + 2t, where x and t are expressed in feet and seconds, respectively. x is measured along the surface of the hill. Determine the position, velocity, and acceleration of the boarder when t = 7.5 seconds.
The position, velocity, and acceleration of the boarder are ____ft, ____ft/s, and ____ft/s2, respectively when t = 7.5 seconds.