学帮网微积分数学题.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?
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/14 18:58:40
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?
Let the altitude be y,the length of the ramp be L
the length of the base of the ramp be x
L² = x² + y ²
dL/dt = 12 m/s
dy/dt = dL/dt sinα
= 12×2/√29
= 24/√29
= 4.46 (m/s)