What is the launch speed required for a skier to reach a height of 11.7 m

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The discussion revolves around calculating the launch speed required for a skier to reach a height of 11.7 meters during an aerials competition. Participants express confusion about how to approach the problem, particularly regarding the use of trigonometry and the separation of vertical and horizontal components of velocity. Suggestions include determining the vertical component of velocity first and then using trigonometric functions to find the total launch speed. There is also mention of simpler related problems, such as throwing a ball straight up or at an angle, to help understand the concepts involved. The conversation highlights the challenges faced when applying physics principles to real-world scenarios in skiing.
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The 1994 Winter Olympics included the aerials competition in skiing. In this event skiers speed down a ramp that slopes sharply upward at the end. The sharp upward slope launches them into the air, where they perform acrobatic maneuvers. In the women's competition, the end of a typical launch ramp is directed 63° above the horizontal. With this launch angle, a skier attains a height of 11.7 m above the end of the ramp. What is the skier's launch speed?

i don't know where to begin with this since so little info is given,
 
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This is mostly a 1-D problem.
 
ok, i have the 3 sides of the traingle, but i do now know what to do with them, 13.13, 11.7, 5.96
 
Here's a slightly easier problem you could solve first:
If I throw a ball straight up, how fast do I need to throw it so that it goes up 11.7 meters?
 
EDIT: u are right it is too high.. 15.14m/s is the right one i think
 
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That number seems a bit high ...

Now, let's say that I throw the ball at a 45 degree angle with horizontal instead of straight up - how fast do I have to throw it?
 
i have no idea
 
can anyone PLEASE help, i have the answer(16.99), i just don't know how to get the answer
 
What's the vertical component of the velocity of the ball when I throw it?
 
  • #10
10.7m/s ??
 
  • #11
Joules23 said:
10.7m/s ??
It would only go up about 5m if that was the vertical component.
 
  • #12
Vy of the ball at 45degrees or Vy of the ball thrown straight up? wow if every problem is going to take me this long i think ill be done next month
can you give me a forumla or something for the actual problem
 
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  • #13
anyone? I am completely lost
 
  • #14
Joules23 said:
Vy of the ball at 45degrees or Vy of the ball thrown straight up? wow if every problem is going to take me this long i think ill be done next month
can you give me a forumla or something for the actual problem

The way I would do this problem is:
1. Figure out the vertical component of the skiers velocity at the end of the ramp.
2. Use trig to determine the total velocity.
 
  • #15
How would i find the vertical component of the skiers velocity, when it does not give the velocity

IS 11.7 the vertical component?
 
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  • #16
The horizontal and vertical components are independant.
 
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