Your task is to estimate how far an atject traveled during the time interval 08. but...

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Your task is to estimate how far an atject traveled during the time interval 08. but you only have the following data about the velocity of the oject time a 013 velocity (t/c-2-1-2- To get an idea of what the velocity function might look like you pick up a black pan plot the data points, and connect them by curves Your skatch looks something is the black curve in the graph below. Left endpoint approximation You ce sentint fiemann stam tu estimate the stad displacement. Sex you pick uprate pe send de rectangles wees height is termined by the oily meet at the will sendpt of suchome second interval. By using the left andpoint Remann sun as an approximation you are assuming that the actual velocity is approximately constant on each one-secone interval (or, equivalently that the actual acceleration is approidmately zero on each one second intervall, and that the velocity and acceleration have discontinuous jumos every second. This assumption is probably incorrect because it is likely that the velocity and acceleration change confrunaly i How, you decide to satis approximation se yway sima it serbe masurate approsination to the actual velocity given insted amount of data Using the lett endpoint Riemann aum. find approximately now for the object traveled. Your answers must indude the correct unite Total displacem Total distance traveled - Ubing the same data, you also decide to estimate how far the object traveled using a right endpoint Riemann sum. So, you sketch the cure again with a black pan and draw rectangles whose height sccstermined by the locity men at the age space of schr Right endpoint approximation (Ring the right poin Riemen sum find approximely how be the obje: tebe. Yan antants must incase the correct unis. Total displacement- Total distance traveled - Your task is to estimate how far an atject traveled during the time interval 08. but you only have the following data about the velocity of the oject time a 013 velocity (t/c-2-1-2- To get an idea of what the velocity function might look like you pick up a black pan plot the data points, and connect them by curves Your skatch looks something is the black curve in the graph below. Left endpoint approximation You ce sentint fiemann stam tu estimate the stad displacement. Sex you pick uprate pe send de rectangles wees height is termined by the oily meet at the will sendpt of suchome second interval. By using the left andpoint Remann sun as an approximation you are assuming that the actual velocity is approximately constant on each one-secone interval (or, equivalently that the actual acceleration is approidmately zero on each one second intervall, and that the velocity and acceleration have discontinuous jumos every second. This assumption is probably incorrect because it is likely that the velocity and acceleration change confrunaly i How, you decide to satis approximation se yway sima it serbe masurate approsination to the actual velocity given insted amount of data Using the lett endpoint Riemann aum. find approximately now for the object traveled. Your answers must indude the correct unite Total displacem Total distance traveled - Ubing the same data, you also decide to estimate how far the object traveled using a right endpoint Riemann sum. So, you sketch the cure again with a black pan and draw rectangles whose height sccstermined by the locity men at the age space of schr Right endpoint approximation (Ring the right poin Riemen sum find approximely how be the obje: tebe. Yan antants must incase the correct unis. Total displacement- Total distance traveled -

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Stepbystep answer Step 1 of 4 According to the left endpoint Riemann sum the total displacement is 1... View the full answer