Question

In: Physics

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

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

a)number

b)number

c)number

d)number

Solutions

Expert Solution

a)

time taken for the journey between San AntonioandHouston=2t

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

speed between San Antonio and Houston=distance/time

                                                                     =153t/2t=76.5km/h

b)

∴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

                                                 =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)

genius_generous answered 3 days ago
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