微积分数学题.求教A waterskier skis over the ramp shown in the figure at a speed of 12m/s. Base of the ramp is 5m,the altitude is 2m.How fast is the waterskier rising as she leavesthe ramp?
问题描述：
微积分数学题.求教
A waterskier skis over the ramp shown in the figure at a speed of 12m/s. Base of the ramp is 5m,the altitude is 2m.How fast is the waterskier rising as she leavesthe ramp?
答
Let the altitude be y,the length of the ramp be Lthe length of the base of the ramp be xL² = x² + y ²dL/dt = 12 m/sdy/dt = dL/dt sinα= 12×2/√29= 24/√29= 4.46 (m/s)