another uhart dynamics lab experiment produced data whose curve fit pa

Question

Another UHart Dynamics Lab experiment produced data whose curve-fit particle acceleration was approximated by the equation a = 30 – 3t2, where a and t are expressed in ft/s² and seconds,respectively. The particle starts at t = 0 with v = 0 and x = 12 ft. (a) the time when the velocity is again zero, (b) the position and velocity when t = 6s (c) the total distance traveled by the particle from t = 0 to t = 6 s.%3D