What is the average speed of a gerbil running in a clear plastic tube?

AI Thread Summary
The average speed of a gerbil running in a clear plastic tube can be calculated by determining the total distance traveled rather than just the displacement. To find this, one must calculate the area under the displacement-time graph. The initial calculation of 2 m over 35 seconds was incorrect due to a misunderstanding of the graph's interpretation. A more accurate average speed, considering proper decimal places, is approximately 0.0571 m/s. Rounding errors can lead to incorrect conclusions, so precision is essential in calculations.
lostfan176
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Homework Statement



What is its average speed during the first 35 s?

2-P72.gif

(Figure shows the displacement-time graph of a gerbil running inside a straight length of clear plastic tubing.)

Homework Equations



any

The Attempt at a Solution



2 m / 35 sec = .06
its wrong though
 
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Since u_{average} = \frac{s_{total}}{t_{total}}, have to calculate the total distance traveled (not displacement), and divide it by the total time. To find the total distance, you would have to find the sum of the area under the curve.
 
bel said:
Since u_{average} = \frac{s_{total}}{t_{total}}, have to calculate the total distance traveled (not displacement), and divide it by the total time. To find the total distance, you would have to find the sum of the area under the curve.

how would u do that like a triangle? h = 2 b = 35 A=35 its wrong:(
 
Hmmm... seems to me like your original answer is right, but you didn't carry enough decimal places... maybe 0.0571m/s ?
 
bel said:
To find the total distance, you would have to find the sum of the area under the curve.

that would be for a v-t graph wouldn't it? not a d-t graph.
 
thanks a lot i guess i wasnt suppose to round
 
lostfan176 said:
thanks a lot i guess i wasnt suppose to round

no prob. did the answer go through?
 
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