Respuesta :
Answer : The speed in miles per hour is 22 mile/hr.
The speed in yard per min is 26617.8 yard/min
Explanation :
The conversion used for meters to miles is:
[tex]1m=100cm\times \frac{1in}{2.54cm}\times \frac{1ft}{12in}\times \frac{1mile}{5280ft}[/tex]
The conversion used for second to hour is:
[tex]1s=\frac{1}{60}min\times \frac{1hr}{60min}[/tex]
The conversion used for meter per second to mile per hour is:
[tex]1\frac{m}{s}=\frac{100cm\times \frac{1in}{2.54cm}\times \frac{1ft}{12in}\times \frac{1mile}{5280ft}}{\frac{1}{60}min\times \frac{1hr}{60min}}[/tex]
As we are given the speed of 407.0 meter per second. Now we have to determine the speed in miles per hour.
[tex]1m/s=2.2mile/hr[/tex]
So, [tex]407.0m/s=\frac{2.2mile/hr}{1m/s}\times 407.0m/s=895.4mile/hr[/tex]
Therefore, the speed in miles per hour is 22 mile/hr.
The conversion used for meter to yard
1m = 1.09 yard
The conversion used for second to hour is:
[tex]1s=\frac{1}{60}min[/tex]
The conversion used for meter per second to mile per hour is:
[tex]1m/s=\frac{1.09yard}{frac{1}{60min}}[/tex]
[tex]1m/s=65.4yard/min[/tex]
As we are given the speed of 407.0 meter per second. Now we have to determine the speed in yards per min
[tex]1m/s=65.4yard/min[/tex]
So, [tex]407.0m/s=\frac{65.4yard/min}{1m/s}\times 407.0m/s=26617.8yard/min[/tex]
Therefore, the speed in yard per min is 26617.8 yard/min
