Unformatted text preview: total distance traveled, you must ﬁnd out where the velocity function crosses the taxis, integrate separately over the time intervals when v ( t ) is positive and when v ( t ) is negative, and add up the absolute values of the diﬀerent integrals. For example, if an object is thrown straight upward at 19.6 m/sec, its velocity function is v ( t ) =9 . 8 t + 19 . 6, using g = 9 . 8 m/sec for the force of gravity. This is a straight line which is positive for t < 2 and negative for t > 2. The net distance traveled in the ﬁrst 4 seconds is thus Z 4 (9 . 8 t + 19 . 6) dt = 0 ,...
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 Spring '07
 JonathanRogawski
 Math, Calculus, Derivative, General Relativity, 2m, velocity function

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