3) [20 points] Taking out the Trash (with Style). A local tavern is about to replace all their
drinkware. As a result, they've come up with a parting game to dispose of the old glasses and
mugs. Mugs will be launched from one end of a counter with an initial velocity of 9.5 m/s.
The counter is 2.4m long, inclined at a small angle of 15° (relative to the horizontal) and
somewhat rough, with a coefficient of kinetic friction of 0.45 and static friction of 0.56. The
edge of the counter is 1.48m above the ground.
The goal is for contestants to place a trash can such that the mug will fly off the counter and
pass directly through a hole in the top of the trash can. If the trash can is 0.4m high, how far
from the edge of the table should you place the trash can?