On a straight road with the +x axis chosen to point in the direction of motion,

Question

On a straight road with the +x axis chosen to point in the direction of motion, you drive for 4 hours at a constant 40 miles per hour, then in a few seconds you speed up to 60 miles per hour and drive at this speed for 1 hour. (a) What was the x component of average velocity for the 5-hour period, using the fundamental definition of average velocity, which is the displacement divided by the time interval? vavg,x = miles per hour (b) Suppose instead you use the formula vavg,x = vix + vfx 2 . What do you calculate for the x component of average velocity? vavg,x = vix + vfx 2 = miles per hour

Explanation / Answer

4 hours * 40 miles = 160 miles travelled
1 hour * 60 miles = 60 miles travelled

total distance travelled 220 miles
Total time taken 5 hours

a) average velocity = 220 miles/5hour = 44 miles/hour

b) vavg,x = vix + vfx/2 =(40+60)/2 = 50 miles per hour

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