During winter break, you ski off a ramp at the edge of a small ravine. The ramp
ID: 1967892 • Letter: D
Question
During winter break, you ski off a ramp at the edge of a small ravine. The ramp makes an angle of 30° with the horizontal. If the magnitude of your velocity when you leave the ramp is 10 m/s, the horizontal distance from the edge of the ravine to the point where you hit the ground is d = 15 m.
a.What are the x and y (i.e., horizontal and vertical) components of your velocity when you leave the ramp?
b. How long does it take you to reach the bottom of the ravine?
c. What is the height h of the ravine?
Explanation / Answer
a .
vx = 10 cos 30 = 8.66 m /s
vy = 10 sin 30 = 5 m /s <-------ans
b .
d = vx t ;
15 = 8.66 * t ;
t = 1.732 s ; <--------ans
c .
y = ut + 1/2 at^2 ;
y= 5 * 1.732 - 0.5 * 9.8 * 1.732^2
y = 6.03 m <-------ans
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