Question

If a bullet travels at 407.0 m/s, what is its speed in miles per hour? Number click to edit mi/h For the same bullet travelling at 407,0 m/s, what is its speed in yards per minute?

Answer 1

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:

`1m=100cm* (1in)/(2.54cm)* (1ft)/(12in)* (1mile)/(5280ft)`

The conversion used for second to hour is:

`1s=(1)/(60)min* (1hr)/(60min)`

The conversion used for meter per second to mile per hour is:

`1(m)/(s)=(100cm* (1in)/(2.54cm)* (1ft)/(12in)* (1mile)/(5280ft))/((1)/(60)min* (1hr)/(60min))`

As we are given the speed of 407.0 meter per second. Now we have to determine the speed in miles per hour.

`1m/s=2.2mile/hr`

So,
`407.0m/s=(2.2mile/hr)/(1m/s)* 407.0m/s=895.4mile/hr`

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:

`1s=(1)/(60)min`

The conversion used for meter per second to mile per hour is:

`1m/s=\frac{1.09yard}{frac{1}{60min}}`

`1m/s=65.4yard/min`

As we are given the speed of 407.0 meter per second. Now we have to determine the speed in yards per min

`1m/s=65.4yard/min`

So,
`407.0m/s=(65.4yard/min)/(1m/s)* 407.0m/s=26617.8yard/min`

Therefore, the speed in yard per min is 26617.8 yard/min