You drive on Interstate 10 from San Antonio to Houston, half the time at 63 km/h...

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Physics

You drive on Interstate 10 from San Antonio to Houston, half thetime at 63 km/h and the other half at 90 km/h. On the wayback you travel half the distance at 63 km/h and the otherhalf at 90 km/h. What is your average speed (a)from San Antonio to Houston, (b) from Houston backto San Antonio, and (c) for the entire trip?(d) What is your average velocity for the entiretrip?
a)number
b)number
c)number
d)number

Answer & Explanation Solved by verified expert

3.6 Ratings (681 Votes)

time taken for the journey between San AntonioandHouston=2t

âˆ´distance between San Antonio andHouston=63*t+90*t=153t

speed between San Antonio and Houston=distance/time

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =153t/2t=76.5km/h

âˆ´distance between Houston back and SanAntonio=153t

time taken for the journey=(76.5t/90)+(76.5t/63)=11704.5t/5670

average speed between Houston back and San Antonio

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =153t/(11704.5t/5670)=74.12 km/h

c)average speed for entire trip=(76.5+74.12)/2=75.31km/h

d)average velocity for entire trip=0 (sincedisplacement=0)

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