(12.1) in one of the lesser known drafts of romeo and juliet, romeo is a student at the verona institute of technology. In this version of the famous balcony scene, romeo vaults over the railing with the aid of a trebuchet that he had built as a class project.

The balcony railing is 8m above ground and along the wall's edge.

Take acceleration due to gravity g=10

the affects of friction and drag are negligible

Romeo is moving horizontally, with speed 1m/s as he clears the railing

(a) determine the launch speed, and the initial angle to satisfy the design constraints, and how far, horizontally, away from the wall Romeo's launch point should be.

(b) Romeo is accelerated from rest to his launch speed by the trebuchet arm. Let's say that the distance through which he moves while accelerating is 2m(the height at which he is released.) Estimate the average acceleration that Romeo must endure to be launched at the speed computed in (a)