Estimating Car Velocity over 10 Seconds

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Homework Help Overview

The discussion revolves around estimating the velocity of a car over a 10-second interval using midpoint Riemann sums with given velocity data at specific time points.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are considering different sets of midpoints for the estimation, specifically debating between two options: (1,3,5,7,9) and (2,3,6,8,10). There is discussion about the appropriateness of including the endpoint at 10 seconds.

Discussion Status

Some participants have provided their opinions on which midpoints to choose, with one suggesting that the endpoint at 10 seconds should not be included as it is not a midpoint. Others have indicated that the choice of midpoints may not significantly affect the outcome, encouraging exploration of different methods.

Contextual Notes

Participants are working within the constraints of using 5 subintervals and midpoints for their calculations, and there is an emphasis on understanding the implications of their choices regarding midpoint selection.

chukie
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ProblemFor the information given below estimate the velocity of the car over the 10 second interval using 5 subintervals and midpoints.
Car velocity and time:
time (t) velocity
0 0
1 20
2 35
3 48
4 62
5 75
6 85
7 93
8 99
9 106
10 111
 
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i just don't know which times i should take the midpoints. I am debating between taking times at (1,3,5,7,9) and (2,3,6,8,10). can sumone help me?
 
I would take the midpoints at (1,3,5,7,9). Just because 10 isn't a midpoint. You don't know the value at 11.
 
It shouldn't really matter ... but midpoints are always the best.

For understanding plot these points and see what happens
if pick left points, middle points, or right points
 
alright thanks guys =)
 

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