You drive on Interstate 10 from San Antonio to Houston, halfthetime at 50 km/h a

Question

You drive on Interstate 10 from San Antonio to Houston, halfthetime at 50 km/h and the other half at 99 km/h. On the way backyoutravel half the distance at 50 km/h and the other half at99km/h.
(a) What is your average speed from San Antonio to Houston?


(b) What is your average speed from Houston back toSanAntonio?


(c) What is your average speed for the entire trip?


(d) What is your average velocity for the entire trip?


(e) Describe in words the graph x versus t for (a), assumingthemotion is all in the positive x direction.


(f) Describe how the average velocity can be found on a graph ofxversus t.



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Section 2.4 Average Velocity and Average Speed

Explanation / Answer

a) average speed = total distance/ total time = (0.010/ (0.005/99) + (0.005/50)) = 66.44 km/hr b) here also the average speed is the same i.e 66.44 km/hr c) average speed for entire trip = distance travelled / totaltime = 66.44 km/hr d) average velocity for entire trip is zero as total displacementis zero e)x versus t will be a straight line as here the speed is same inall case and the velocity is zero f)average velocity can be found on a graph of x versus t by takingout the slope i.e x/t

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