You drive on Interstate 10 from San Antonio to Houston, half the time at 59 km/h

Question

You drive on Interstate 10 from San Antonio to Houston, half the time at 59 km/h and the other half at 84 km/h. On the way back you travel half the distance at 59 km/h and the other half at 84 km/h. (a) What is your average speed from San Antonio to Houston? km/h (b) What is your average speed from Houston back to San Antonio? km/h (c) What is your average speed for the entire trip? km/h (d) What is your average velocity for the entire trip? km/h (e) Describe in words the graph x versus t for (a), assuming the motion is all in the positive x direction. (f) Describe how the average velocity can be found on a graph of x versus t.

Explanation / Answer

a)72.5 b)69.31 c)70.655 d)0 e)x increases(from 0) with t at slow rate then at faster rate time intervals being interval for these lines of differing slope to reach houston(x1) x decreases from houston to 0 again at differing slopes but this time for equal dispacements aganist the change in slopes f)total disp = 0 ==> avg velocity = 0

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