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course Phy 121
6/19 around 6:25
Copy the problem below into a text editor or word processor. •This form accepts only text so a text editor such as Notepad is fine.
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An automobile rolls 10 meters down a constant incline with slope .05 in 8 seconds, starting from rest. The same automobile requires 5 seconds to roll the same distance down an incline with slope .10, again starting from rest.
At what average rate is the automobile's acceleration changing with respect to the slope of the incline?
answer/question/discussion:
The average rate of change in the automobile’s acceleration with respect to the slope of the incline is 9.75m/s^2 / 1 meter the slope is increased. This is because the average acceleration for each of the given scenarios was .8m/s^2 and .3125m/s^2. The difference in these values is .4875m/s^2 and the difference in the slope was .05m, so .4875m/s^2 / .05m = .4875m/s^2 / 1m.
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The slope is unitless; the rise and run of the ramp both have units of distance, which go away when rise is divided by run.
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.48 / .05 would be 9.6.
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