Question

The speed limit on many U.S. highways is 70 mi/hr. Convert this speed into each alternative unit. Express your answer using two significant figures.

A)km/day

B)ft/s

C)m/s

D)yd/min

Answer 1

To convert the speed limit of 70 mi/hr into alternative units, multiply the speed by the appropriate conversion factors.

Step-by-step explanation:

To convert the speed limit of 70 mi/hr into alternative units:

1. km/day: Multiply the speed by the conversion factors for miles to kilometers and hours to days. The speed is approximately 112.65 km/day.
2. ft/s: Multiply the speed by the conversion factor for miles to feet and hours to seconds. The speed is approximately 102.67 ft/s.
3. m/s: Multiply the speed by the conversion factors for miles to meters and hours to seconds. The speed is approximately 31.29 m/s.
4. yd/min: Multiply the speed by the conversion factors for miles to yards and hours to minutes. The speed is approximately 3823.33 yd/min.

Answer 2

A)
`2.7(km)/(day)`

B)
`1.03*10^(2)(ft)/(s)`

C)
`31(m)/(s)`

D)
`2.05*10^(3)(yd)/(min)`

Step-by-step explanation:

A) Convert
`70(mi)/(hr) to (km)/(day)`

`70(mi)/(hr)*(24hr)/(1day)*(1.60934km)/(1mi)=2.7(km)/(day)`

B) Convert
`70(mi)/(hr) to (ft)/(s)`

`70(mi)/(hr)*(1hr)/(3600s)*(5280ft)/(1mi)=1.03*10^(2)(ft)/(s)`

C) Convert
`70(mi)/(hr) to (m)/(s)`

`70(mi)/(hr)*(1hr)/(3600s)*(1609.34m)/(1mi)=31(m)/(s)`

D) Convert
`70(mi)/(hr) to (yd)/(min)`

`70(mi)/(hr)*(1hr)/(60min)*(1760yd)/(1mi)=2.05*10^(3)(yd)/(min)`