You decide to use a left endpoint Riemann sum to estimate

Last updated: 5/9/2023

You decide to use a left endpoint Riemann sum to estimate the total displacement So you pick up blue pen and draw rectangles whose height is determined by the velocity measurement at the left endpoint of each one second interval By using the left endpoint Riemann sum as an approximation you are assuming that the actual velocity is approximately constant on each one second interval or equivalently that the actual acceleration is approximately zero on each one second interval and that the velocity and acceleration have discontinuous jumps every second This assumption is probably incorrect because it is likely that the velocity and acceleration change continuously over time However you decide to use this approximation anyway since it seems like a reasonable approximation to the actual velocity given the limited amount of data A Using the left endpoint Riemann sum find approximately how far the object traveled Total distance 18 Total displacement 2 Part 2 of 2 Using the same data you also decide to estimate how far the object traveled using a right endpoint Riemann sum So you sketch the curve again with a black pen and draw rectangles whose height is determined by the velocity measurement at the right endpoint of each one second interval 15 4 13 2 il Total distance 6 7 00 8 B Using the right endpoint Riemann sum find approximately how far the object traveled