2. Road trip. You drive the 10 Free wa y from Santa Monica to Pomona, ha lf the

Question

2. Road trip. You drive the 10 Free wa y from Santa Monica to Pomona, ha lf the time at 55 km/h, and the other halfat 90 km/h. On your return trip you tra vel ha lf the dis tance at 55 km/h and the other halfat 90 km/h. What is your average speed a) from Santa Monica to Pomona b) from Pomona back to Santa Monica, and c) for the entire trip? d) What is your average ve locity for the entire trip? c) Sketch x versust for part (a), assuming the motion is all in the positive x direction. ndicate how the average ve locity can be found on the sketch

Explanation / Answer

a)

V1 = speed for first half = 55 km/h

V2 = speed for second half = 90 km/h

Vavg1 = average speed = 2 V1 V2/(V1 + V2) = 2 (55) (90)/(55 + 90) = 68.3 km/h

b)

V1 = speed for first half = 55 km/h

V2 = speed for second half = 90 km/h

Vavg2 = average speed = 2 V1 V2/(V1 + V2) = 2 (55) (90)/(55 + 90) = 68.3 km/h

c)

Vtrip = 2 Vavg1 Vavg2 /(Vavg1 + Vavg2) = 2 (68.3) (68.3)/(68.3 + 68.3) = 68.3 km/h

d)

displacement for entire trip = 0 since initial and final position overlap

average velocity = displacement/time = 0

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