Chapter 5: Integrals - Section 5.1 - Area and Estimating with Finite Sums - Exercises 5.1 - Page 258: 14

a)240ft/sec after 5 second b)1520 ft

(a) The speed is a decreasing function of time right endpoints give a lower estimate for the height (distance) attained. Also gives the time-velocity table by subtracting the constant g 32 from the speed at each time increment 1sec. Thus, the speed 240 ft/sec after 5 seconds. (b) A lower estimate for height attained is h $\approx$ [368 336 304 272 240](1) $\approx$ 1520 ft.