An electric car is subjected to acceleration tests along a straight and level test track. The resultingv-t data are closely modeled over the first 10 seconds by the functionv = 24t -t2 +5t1/2, wheret is the time in seconds andv is the velocity in feet per second. Determine the displacements as a function of time over the interval 0 =t = 10 sec and specify its value at the indicated times.