Gene and Tina are playing darts. Gene hasn't played before and when he throws his first dart, he throws it from exactly the same height as the bullseye and throws horizontally at the bullseye. He releases the m dart with a speed of 10 and from a horizontal distance of 2m from the dartboard. a. Make a sketch of this situation and/or a motion diagram. Include a coordinate system. Then write down the known quantities in terms of the coordinate system you chose. b. Find the time that Gene's dart is in the air before it hits the dartboard. c. How far below the bullseve does Gene's dart hit? d. Now Tina throws. She also starts with the dart at the same height as the bullseye and she also throws m with an initial horizontal velocity of 10. However, she adds just enough initial vertical velocity so that her dart hits the bullseye dead center. How much vertical velocity did she give it? e. Express the initial velocity of Tina's dart as a magnitude and as an angle above the horizontal.