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)


Related Solutions

the half-life of a radioisotope 63 hours how much time will elapse if the radioisotope decays...
the half-life of a radioisotope 63 hours how much time will elapse if the radioisotope decays to one-fourth of its original mass?
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01...
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01 through 15th. https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198 Day Temperature 1 100 2 100 3 99 4 98 5 101 6 100 7 101 8 102 9 103 10 103 11 104 12 104 13 104 14 103 15 100 a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a chart for the data. Make sure to show the equation...
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01...
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01 through 15th. https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198 Day Temperature 1 100 2 100 3 99 4 98 5 101 6 100 7 101 8 102 9 103 10 103 11 104 12 104 13 104 14 103 15 100 a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a chart for the data. Make sure to show the equation...
You drive your gasoline-powered car from San Marcos to Julian. Describe the distribution of gravitational, chemical,...
You drive your gasoline-powered car from San Marcos to Julian. Describe the distribution of gravitational, chemical, kinetic, and thermal energy at the beginning and end of the trip, and at some point during the drive.
On a trip, you get stuck in slow traffic and have to drive 90.0 km at...
On a trip, you get stuck in slow traffic and have to drive 90.0 km at 30.0 km/hr. Then the traffic clears up, and you're able to drive another 90.0 km at 60.0 km/hr. a) Calculate your overall average speed for this 180.0 km trip. Check: it's not 45.0 km/hr! See the next question as well. Use the definition of average speed in physics. b) Prove that if you'd driven 180. km at 60.0 km/hr for the second leg, your...
On a trip, you get stuck in slow traffic and have to drive 90.0 km at...
On a trip, you get stuck in slow traffic and have to drive 90.0 km at 30.0 km/hr. Then the traffic clears up, and you're able to drive another 90.0 km at 60.0 km/hr. a) In the original description of the trip, why was your overall average speed lower than 45.0 km/hr, the mathematical average of 30.0 km/hr and 60.0 km/hr? b) Determine the speed at which you'd have to have driven the second 90.0 km so that your overall...
A container with mass m kg is dropped by a helicopter from height h km at...
A container with mass m kg is dropped by a helicopter from height h km at time t=0, with zero velocity. from the outset, its fall is controlled by gravity and the force of air resitance, f(v)= -kv, where v is the current velocity of the container. in t seconds after the drop, a parachute opens, resulting in an increase of air resistance up to f(v) = -kv. determine the time t at which the container touches the ground. and...
A jet fighter is accelerated from rest to a takeoff speed of 262 km/h in a...
A jet fighter is accelerated from rest to a takeoff speed of 262 km/h in a distance of 91.5 m on an aircraft carrier. Assume constant acceleration. What is the acceleration of the fighter in m/s2? a = m/s2 Part B How long does it take the jet to reach take-off speed?
1. If you are driving 85 km/h along a straight road and you look to the...
1. If you are driving 85 km/h along a straight road and you look to the side for 2.0s, how far do you travel during this inattentive period? Assume that your speed remains constant. 2. A child, who is 46 m from the bank of a river, is being carried helplessly downstream by the river's swift current of 1.5 m/s. As the child passes a lifeguard on the river's bank, the lifeguard starts swimming in a straight line (perpendicular to...
An airplane cruises at 900 km/h relative to the air. It is flying from Denver, Colorado,...
An airplane cruises at 900 km/h relative to the air. It is flying from Denver, Colorado, due west to Reno, Nevada, a distance of 1200 km, and will then return. There is a steady 80 km/h wind blowing to the east. What is the difference in flight time between the two legs of the trip?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT