$3\mathrm{.}19$: Win the Prize. In a carnival booth, you can win a stuffed giraffe if you toss a quarter into a small dish. The dish is on the shelf above the point where the quarter leaves your hand and is a horizontal of $2\mathrm{.}1$ m from this point. If you toss the coin with a velocity $6\mathrm{.}4$ m$/$s at an angle of $60$ degrees above the horizontal, the coin will land in the dish. Ignore air resistance. What is the height of the shelf above the point where the quarter leaves your hand? What is the vertical component of the velocity of the quarter just before it lands in the dish?