In a very silly game at the coffee shop, you see who can slide the coffee cup closest to the edge of the table without sending it over the edge. You push an empty, 310 g coffee cup so that it leaves your hand with a speed of 2.15 m/s. Crash! Unfortunately, the coffee cup slides right off of the edge of the table. The table is 0.75 m high, the coffee cup slides 1.2 m along the table before it reaches the edge, and the coefficient of kinetic friction between the table and the cup is 0.15.
a) How far from the edge of the table does the cup land (horizontal distance)?
b) With what speed should you push the next 310 g cup, so that it stops just at the edge of the table.