The origin is on flat ground and the z-axis points upward. For time 0 t 10 in seconds and distance in centimeters, a particle moves along a path given by, 7=2ti +3t3+ (100-(-5)). (a) When is the particle at its highest point? What are the coordinates of this point? (b) Compute the velocity and acceleration vectors of the particle at the exact moment when the particle hits the ground (i.e. xy-plane). (c) When is the particle moving fastest? What is the speed at that moment?