John was wondering at what speed an arrow leaves a bow when it is released. So he went to a field and shot the bow at an angle of 45 degrees. The arrow hit the ground at a distance of 600 feet. Ignore air resistance. For simplicity, assume that the arrow is released at an initial height of 0 feet.

The arrow leaves the bow at a speed of how many miles per hour?

1 answer

the range for an angled shot is

R = v^2/g sin2θ

so, plug in your numbers. Remember to convert ft/s to mi/hr.