In the problem above, consider the total distance each vehicle will travel while it accelerates from 0 to 90 mph. That quantity can be calculated by integrating the velocity function v(t) for the vehicle. There is one small problem to overcome first. In the this problem v(t) is measured in miles per hour and t in measured in seconds, so v(t) should be converted to miles per second before proceeding. The velocity function in miles per second is v(t)f3600. The distance travelled by the 3' vehicle would be I1~(r)f3600dr, where T is the time at which the vehicle reaches ID 90 mph. The real velocity function v(t) is not known in this case, but interpolating polynomials for v(t) are available which should approximate v(t). Use the interpolating polynomials you generated in the previous exercise to approximate the distance needed for each vehicle to accelerate from 0 to 90 mph