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?
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微积分数学题.求教Awaterskierskisovertherampshowninthefigureataspeedof12m/s.Baseoftherampis5m,thealtitudeis2m
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?
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?
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)