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The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t...

The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t - 3, where t is in hours.

a. Write a definite integral for the distance the car travels between t = 1 and t = 3.

b. Sketch a graph of velocity against time and present the distance traveled during t = 1 and t = 3 hours as an area on your graph.

c. Use Fundamental Theorem of Calculus to find this distance.

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Answer #1

V (H) = 4 + 3/2 + 1 - 3 Between t=1 and t=3 3 Distance = Vrt all 3 3/2 Sca 4 4 4 4 -3 44 VCAR b Distance travelled 3 3 3/2 Di

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