An engineer has mounted both wheel speed and acceleration sensors to a racing car. The car enters a corner maintaining a constant lateral acceleration of 15m/s2. The car applies its brakes and experiences constant deceleration over a period of 1s reducing its forward velocity from 100km/h to 70km/h. Determine the following: a) Tangential acceleration of the vehicle. b) Magnitude of vehicle acceleration. c) Plot the radius of curvature vs. time for the 1s corner entry