Left endpoint approximation You decide to use a left endpoint Riemann um to estimate the total displacement So you pick up a

Question

Left endpoint approximation You decide to use a left endpoint Riemann um to estimate the total displacement So you pick up a 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 Your answers must include the correct units Total displacement Total distance traveled

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