2. A motorcycle rider safety program requires motorcycle riders to be able to brake from 30 mph (which equals 44 ft/sec) to 0 in 45 feet. What constant deceleration does the rider need to be able to maintain? [6 points each] a) We know the rider's acceleration must be a(t) = c ft/s. Write formulas for their velocity and position: v(t) and s(t) (these will be in terms of c). b) We need the rider to stop after braking for 45ft. Let to denote the time at which the rider has gone 45ft: s(to) = 45. Solve for to in terms of c. c) What must be true of v(to)? Use this to solve for c