In: Physics
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
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)