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 at 3 bt 2 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 t 0 10 20 30 40 50 0 5 21 40 62 V 60 78 83

Question: 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

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).

t 0 10 20 30 40 50 0 5 21 40 62

(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.

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

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