A baseball batter can hit the ball at an angle between $45°$ and $60°$. At all angles, the initial speed is $30$m/s. There are two catchers, catcher $A$ can run at $5$m/s and catcher $B$ can run at $2.5$m/s. How far should each catcher stand from the batter so they can catch the ball wherever it lands? Assume $g=9.8$ and that this all takes place in just two dimensions.
My attempt: Using projectile motion vectors, I could find where the ball landed at $45°$ and $60°$, but didn’t know what to in the second part of the question using the speeds of the catchers.