Chapter 5.1, Problem 5E

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).