To solve this problem we will use the concept related to nautical miles per hour (Knot) To miles per hour. From the definition we know that
[tex]1 \text{Nautical mile} = 1.15078miles[/tex]
So if the aircraft travels to 500 Knots we would have to
[tex]v = 500 Knots (\frac{1 \text{Nautical mile}/hour}{1 knot})[/tex]
[tex]v = 500 \frac{\text{Nautical mile}}{hour} (\frac{ 1.15078\text{miles} }{1 \text{Nautical mile}})[/tex]
[tex]v = 575.39 mph[/tex]
Therefore the speed in miles per hour is 575.39mph
