The velocity of an object moving along a line is given by v(t) = t 2 +

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The velocity of an object moving along a line is given by v(t) = t2 + t - 2 feet per second.

(a) Find the displacement of the object as t varies in the interval 0 ≤ t ≤ 3. Interpret this displacement using area under the graph of v(t).

(b) Find the total distance traveled by the object during the interval of time 0 ≤ t ≤ 3. Interpret this distance as an area.

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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