Concept explainers
The velocity in ft/s of an object moving along a line is given by v – f(t) on the interval 0 < t < 6 (see figure), where t is measured in seconds.
a. Divide the interval [0, 6] into n = 3 subintervals [0, 2], [2, 4] and [4, 6]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the right endpoint of the subinterval, and use these approximations to estimate the displacement of the object on [0, 6] (see part (a) of the figure).
b. Repeat part (a) n = 6 subintervals (see part (b) of the figure).
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