1. A cyclist in the George Street Bike Challenge for Major Taylor is shooting to complete the short, but steep, climb in 30 seconds. Figure 2 shows the elevation profile for the climb and the cyclist has done some experiments to determine that he can output 775 W for 30 seconds. The bike and rider weigh 85 kg, combined. The diameter of the rear tire is 65 cm. 90 80 70 60 Average Grade: 17.5 % 50 Feet above Start 40 30 20 10 0 6/3/2007, JACK HALL, HPI 0 50 100 150 200 250 300 350 400 450 500 Horizontal Distance, Feet Figure 2: Elevation profile of George Street.[c] The center of gravity of the ciliclist.'r bike combination is 60 cm in front of the rear axle {dimension 'a' in Figure 3] and 30 cm above the ground, measured perpendicularlyr [di- mension W]. What is the steepest grade he could climb without tipping over backwards? At what speed would he climb such a grade