An electric car is subjected to acceleration tests along a straight and level test track. The resulting v-t data are closely modeled over the first 10 seconds by the function v = 24 t − t² + 5√t, where t is the time in seconds and v is the velocity in feet per second. Determine the displacement s as a function of time over the interval 0 ≤ t ≤ 10 sec and specify its value at time t = 10 sec.

Transcribed Image Text:

160 140 120 100 80 60 40 20 4 8 10 t, sec Problem 2/30 v, ft/sec 2.