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My new robot has a 120x160mm rectangular platform as shown in the attached drawing. At two points opposite each other on the platform, it includes

My new robot has a 120x160mm rectangular platform as shown in the attached drawing. At two points opposite each other on the platform, it includes motor driven wheels that are 80mm in diameter. The motors can turn the wheels at 240 rpm. The robot is perfectly balanced so that nothing but the wheels ever touches the ground. A measured drawing is on a following page. At the exact center of the platform, my pet ladybug (named Ada), is sitting. In the top-left drawing, she is facing the right side of the page, which happens to be due East. When the wheels turn "forward", the top of each wheel as shown in the top-left drawing moves towards the right side of the page as drawn. 1. I drive both wheels forwards at the same time for 1 second. What is Ada's position relative to her original starting position? (5 pts) 2. Next, starting at the end of part 1, I drive the right wheel backwards 754mm while at the same time driving the left wheel forwards 754mm. Both wheels move at the same speed. What direction is Ada facing? (5 pts) 

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