cq_1_072

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phy 201

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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: ->->->->->->->->->->->-> :

Aave= (vf-vo)/(tf-to)=(10/5-10/8)/3 = .25m/s^2

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(vf - v0) / (tf - t0) is not equal to vf / tf - v0 / t0. Consider that (10 - 5) / (8 - 3) = 5/3, while 10/5 - 8/3 is -1/3.

In any case there is no 3-second time interval involved in this problem. There is one trial where the car rolls down one incline, and a completely different trial where it rolls down the other. For each trial you have an initial, final and average velocity, a time interval, a displacement and an acceleration.

Having found the two values of the accleeration, you then need to apply the definition of average rate of change.

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