How Do You Calculate Average Speed from Displacement-Time Data?

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To calculate average speed from displacement-time data, first determine the line of best fit using a Ti-83 calculator and graph the equation. The average speed is calculated using the formula: average speed = change in distance/change in time, but it's crucial to use distance rather than displacement. In the provided example, the calculation resulted in a negative value, indicating a misunderstanding of the terms, as speed cannot be negative. Therefore, ensure to account for the total distance traveled in the specified time interval to obtain the correct average speed.
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Homework Statement


Use the data table of displacement time data to get a line of best fit using your Ti-83 calculator. Once you have the equation, graph it so that you can answer the questions 1-5 that follow. Assume that the data below is for an object that is launched vertically upwards.

Time (sec) Displacment (m)
0 9.3
.5 15.075
1.0 18.8
1.5 20.475
2.0 20.1

Using the information above, calculate the average speed for the object from 0.75 sec to 2.9 sec.



Homework Equations


I've tried using the distance divided by time, but that hasn't worked, so I think the equation is actually where my problem is. The one I've tried mainly is average speed=change in distance/change in time


The Attempt at a Solution


Time Displacement
.75 17.193
2.9 14.259

AS=(14.259-17.193)/(2.9-.75)
AS= -1.36
Which isn't right.

Thanks!
 
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I think your calculation is correct. So maybe there is something wrong with using the calculator's line of best fit as a model for the displacement against time?
 
I think the calculation might be wrong since -1.36 was correct as the answer for average velocity.
 
This hint might help: Speed can never be negative. You need to know the distance (not displacement) traveled during the time interval.

p.s. Would your username be a reference to Cedar Point in Sandusky, Ohio?
 

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