An experimental vehicle is tested on a straight track. It starts from rest, and its velocity v (in meters per second) is recorded every 10 seconds for 1 minute (see table).

(a) Use a graphing utility to find a model of the form v = at³ + bt² + ct + d for the data.(b) Use a graphing utility to plot the data and graph the model.(c) Approximate the distance traveled by the vehicle during the test.

Transcribed Image Text:

t 0 10 20 30 40 50 0 5 21 40 62 V 60 78 83