MATH 1111 : Chapter &6 : Lab 6.2 Name You are designing a game that will be played on a monitor that measures 12 by & inches. The game has a cannon in the bottom left corner which the player rotates to an angle A. The center of the cannon ball starts at the origin, (0,0). The player can then fire the cannon ball of diameter one-half inch. This cannon ball then travels at 1.5 inch per second in a straight-line path. (It's a slow motion game.) The monitor is measured right and up from the bottom left corner. The cannon ball is released from the position (0,0) at time 0 sec, when the player shoots. The \"position\" of the ball at any time is the coardinates of its center. 1} IfA 157, then what Is the position of the ball at time 2 seconds? 2} IfA 45 then what is the position of the ball at time 4 seconds? 3} IfA 70, then what is the position of the ball at time 3 seconds? 4) The cannon ball eventually leaves the display area of the monitor and a new cannon ball cannot be shot out of the cannon until the previous cannon ball clears the screen. But, \"leaving the screen\" is not when the center of the cannon ball leaves the display area? How come? 5) IfA = 15% how long does it take for the ball to leave the screen? 6) IfA = 45 how long does it take for the ball to leave the screen? 71 A = 70 how long does it take for the ball to leave the screen? Same screen, same cannon, but now there is a target on the screen. It is a disk of diameter 1 inch and is positioned somewhere on the screen. (Mot necessarily where the example picture shows it.) When the cannon ball is fired at angle A and travels across the screen following a straight-line path, we will want to know if it hits the target. To do this we need the distance BETWEEN the cannon ball and the target. Pretend the target is positioned at (9, 4). 8) IfA I 457, then what is the distance between the cannon ball and target at time 4 secs? 9) IfA I 707, then what is the distance between the cannon ball and target at time 3 secs