Asked by Anonymous

A catapult is tested by Roman legionnaires. They tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): Range = 0.3 km; angle of launch = π/3; landing height = launch height. What is the initial velocity of launch of the boulders if air resistance is negligible?
Answered by Steve
well, you know that the range is

R = v^2/g sin2θ

So, plug in your values.