Freeway Exit Problem: In the design of freeway exit ramps it is important to allow

Chapter 5, Problem 7

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Freeway Exit Problem: In the design of freeway exit ramps it is important to allow enough distance for cars to slow down before they enter the frontage road. Suppose a cars velocity is given by v(t) = 100 20(t + 1)1/2, where v(t) is in feet per second and t is the number of seconds since it started slowing down. Write a definite integral equal to the number of feet the car goes from t = 0 to t = 8. Evaluate the integral exactly by using the fundamental theorem of calculus

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