You are launching Robin Hood out of a cannon and over the wall of the castle to rescue the Maid Marion. He would like to clear the castle wall by as much as possible. The cannon is stuck at an angle of 45 degrees from the ground and will launch him with a speed of 25 m/s. How close does he need to be to the wall to have the largest gap between him and the top of the wall as he flies over it?

1 answer

the wall is on the axis of symmetry of the parabola

his initial vertical speed is
... 25 m/s * sin(45º)
... gravity slows him down to zero at his vertical peak
... the times is ... 25 * sin(45º) / 9.8

his horizontal speed is
... 25 m/s * cos(45º)
... use the time to peak to find the horizontal distance from the wall for maximum gap