Question

The velocity of an object moving along a line is given by v - 2 + 1 us on the interval OSL$4. a. DMde the interval [0, 41 into subintervals. [0.11.[1, 21. 12. and [3, 4]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the midooint of the subinterval and use these approximations to estimate the displacement of the object on [0, 4). (Sen part (a) of the figura) 5. Repeat partial for na suhintervals (sce part (b) of the figure). Im Click the icon to view the figures. a. For n=4 subintervals, the appraxirate displacement of the object is f.. (Simplity your answer.

Answer 1

a) Mid Point Rule for n=4 t 2t +1 Mid Point 0 1 1 3 2 2 9 6 3 19 14 4 26 33 Answer= 48 For n=4 subintervals the approximate distance of the object is 48 ft. b) Mid Point Rule For n=8 t 2t +1 Mid Point 0 1 0.5 1.5 1.25 1 3 2.25 1.5 4.25 2 7.25 2.5 5.5 9 13.5 19 25.5 11.25 3 16.25 3.5 22.25 4 33 Answer= 29.25 47 For n=8 subintervals the approximate distance of the object is 47 ft.