Solved: Modeling Data An experimental vehicle is tested on a straight track. It starts

Chapter 5, Problem 69

(choose chapter or problem)

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 \(v=a t^{3}+b t^{2}+c t+d\) for the data.

(b) Use a graphing utility to plot the data and graph the model.

(c) Use the Fundamental Theorem of Calculus to approximate the distance traveled by the vehicle during the test.

Text Transcription:

v=a t^{3}+b t^{2}+c t+d

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