💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

The table shows a speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida.

(a) Estimate the distance the race car traveled during this time period using the velocities at the beginning of the time intervals.

(b) Give another estimate using the velocities at the end of the time periods.

(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.

a. $10[182.9+168.0+106.6+99.8+124.5+176.1]$$\frac{\text { miles }}{3600}$b. $10[168.0+106.6+99.8+124.5+176.1+ 175.6]$$\frac{\text { miles }}{3600}$c. neither

03:03

Frank L.

Calculus 1 / AB

Chapter 5

Integrals

Section 1

Areas and Distances

Integration

Oregon State University

Harvey Mudd College

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

06:04

Speedometer readings for a…

06:52

01:10

8. Speedometer readings fo…

01:57

(II) The position of a rac…

02:32

A car moves along a straig…

06:13

Distance from velocity dat…

03:00

Recently the winner of the…

0:00

The velocity of a car was …

08:28

Length of a road You and a…

08:09

A race car moves such that…

So in this problem were given The speedometer readings at 10 2nd intervals during a one minute period for a racing car. And so we have that table of those. Okay. Were used to estimate the distance the car traveled. Using the velocities at the beginning of intervals that has to do it again using the loss at the end of the intervals. And then we are asked uh our estimates in estimates in parts A and B. Upper and lower estimates. Well let's think about this for a minute. If this is our graph of our data, think of something like this. Okay. And we draw in these rectangles that are going to use the left side of the curve like so okay, be like this right all the time. That means that the laughter of the beginning. Okay, the beginning are going to be the lower sums and the ending ones then are going to be the upper sums our estimates. Okay, so that's how that's going to work for us. So let's look at the data now. So we are given this set of data right here. I just piped it into a little spreadsheet real quick right here, Time from 0 to 60 seconds and our velocity of the speedometer and miles per second. His shows are 18, 168 and so on. Okay, So I know each of these intervals is 10 seconds. So whatever delta T is 10. So then taking the 10 times the beginning. So I mean is this first one b 10 times the 1 82.9. Is this the 1829? And so the next 10 it becomes the 168 would be that one? Okay. That gives us the lower sums of 87, 79. Course, this is in miles. And then the upper sums, yeah. Would be the ones on the ending right over here. Okay. And that 10 miles. Okay? We can see the difference between the two and we see which ones are the lower and which ones are the upper sums.

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Speedometer readings for a motorcycle at 12 -second intervals are given in t…

8. Speedometer readings for a motorcycle at 12 -secondintervals are give…

(II) The position of a racing car, which starts from rest at $t=0$ and moves…

A car moves along a straight test track. The distance traveled by the car at…

Distance from velocity data The accompanying table givesdata for the vel…

Recently the winner of the Daytona 500 car race finished with an average spe…

The velocity of a car was read from its speedometer at 10-second intervals a…

Length of a road You and a companion are about to drive a twisty stretch of …

A race car moves such that its position fits the relationship$$x=(5.0 {m…