8. (20 points) Stuntman Rod Kimble is going to jump his motorcycle across a swimming pool. The 2D vector values function r(t) = f(t)i + h(t); measures his horizontal distance f(t) across and his height h(t) above the swimming pool at time t, measured in meters. It is centered on the r, y-plane above, so that at time t = 0 Rod is just leaving the ramp, positioned at 7(0) = (0, 0). (a) The angle of the ramp will be 45, and his initial speed when leaving the ramp is 10 meters per second. What is the initial velocity vector when Rod leaves the ramp? (b) The acceleration Rod experiences at time t is given by a(t) = -i - 9.83 (due to gravity and a headwind). If the is 25 meters long, will Rod clear the pool? Your answer must be supported by a computation