Final answer:
The question is about calculating the initial velocity of a projectile motion to hit a target. The horizontal distance and the starting height are known, but without additional details on the flight path, such as launch angle and vertical motion, solving for the precise initial velocity is not possible.
Step-by-step explanation:
The question relates to projectile motion, a topic in physics that deals with the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. To determine how fast the 'bird man' must fly to hit a bucket 57m away starting from a height of 88m, we must consider both the horizontal and vertical components of the flight path. Assuming no air resistance, the problem simplifies to finding the initial velocity required to travel a horizontal distance given the influence of gravity over that distance.
In this scenario, we are not given the exact motion details like the angle of projection or the vertical motion specifics, which are crucial to finding an exact numeric answer without making several assumptions. Otherwise, we would need to apply the kinematic equations of projectile motion to solve for the initial speed, considering the elements such as launch angle, vertical displacement, and the acceleration due to gravity.