When the 150-lb skier is at point A he has a speed of 5 ft/s. When the skier reaches point B on the smooth slope, the slope follows the cosine curve shown in (Figure 1). Suppose that y(x)=75cos(π/100x). Neglect friction and air resistance. Part A: Determine the skier's speed when he reaches point B on the smooth slope. Express your answer in feet per second to three significant figures. Part B: Also, what is the normal force on the skier's skis at BB? Express your answer in pounds to three significant figures. Part C: What is the skier's rate of increase in speed at BB? Express your answer in feet per second squared to three significant figures.
When the 150-lb skier is at point A he has a speed of 5 ft/s. When the skier reaches point B on the smooth slope, the slope follows the cosine curve shown in (Figure 1). Suppose that y(x)=75cos(π/100x). Neglect friction and air resistance. Part A: Determine the skier's speed when he reaches point B on the smooth slope. Express your answer in feet per second to three significant figures. Part B: Also, what is the normal force on the skier's skis at BB? Express your answer in pounds to three significant figures. Part C: What is the skier's rate of increase in speed at BB? Express your answer in feet per second squared to three significant figures.
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When the 150-lb skier is at point A he has a speed of 5 ft/s. When the skier reaches point B on the smooth slope, the slope follows the cosine curve shown in (Figure 1). Suppose that y(x)=75cos(π/100x). Neglect friction and air resistance.
Part A: Determine the skier's speed when he reaches point B on the smooth slope.
Express your answer in feet per second to three significant figures.
Part B: Also, what is the normal force on the skier's skis at BB?
Express your answer in pounds to three significant figures.
Part C: What is the skier's rate of increase in speed at BB?
Express your answer in feet per second squared to three significant figures.
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