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

  • Thread starter Joules23
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    Kinematics
In summary, the 1994 Winter Olympics included the aerials competition in skiing, where skiers would speed down a ramp that sloped sharply upward at the end, launching them into the air to perform acrobatic maneuvers. In the women's competition, the end of the ramp was directed 63° above the horizontal, resulting in a height of 11.7 m above the end of the ramp. To determine the skier's launch speed, one would need to find the vertical component of the skier's velocity and then use trigonometry to calculate the total velocity.
  • #1
Joules23
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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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  • #2
This is mostly a 1-D problem.
 
  • #3
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
 
  • #4
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?
 
  • #5
EDIT: u are right it is too high.. 15.14m/s is the right one i think
 
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  • #6
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?
 
  • #7
i have no idea
 
  • #8
can anyone PLEASE help, i have the answer(16.99), i just don't know how to get the answer
 
  • #9
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.
 

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

1. What is 2-D Kinematics?

2-D Kinematics is the branch of physics that deals with the motion of objects in two-dimensional space. It involves studying the position, velocity, and acceleration of objects in both the horizontal and vertical directions.

2. How is 2-D Kinematics different from 1-D Kinematics?

1-D Kinematics only considers the motion of objects in one-dimensional space, whereas 2-D Kinematics takes into account the motion in both the horizontal and vertical directions. This means that 2-D Kinematics involves vector quantities, such as velocity and acceleration, rather than just scalar quantities like speed.

3. What are the key equations in 2-D Kinematics?

The key equations in 2-D Kinematics are the equations of motion, which include the equations for displacement, velocity, and acceleration in both the horizontal and vertical directions. These equations are:
- Displacement: Δx = v0xt + 1/2axt2
- Velocity: vx = v0x + axt
- Acceleration: ax = (vx - v0x)/t

4. How is the motion of objects in 2-D space represented?

The motion of objects in 2-D space can be represented graphically using position-time, velocity-time, or acceleration-time graphs. These graphs can help visualize the motion of an object and can also be used to calculate various quantities, such as the slope of the graph representing velocity or acceleration.

5. What are some real-world applications of 2-D Kinematics?

2-D Kinematics has numerous real-world applications, including in sports, robotics, and navigation. For example, in sports, 2-D Kinematics can be used to analyze the motion of athletes in different events, such as track and field. In robotics, 2-D Kinematics is important for programming and controlling the motion of robots. And in navigation, 2-D Kinematics is used in GPS systems to track the motion of vehicles and provide directions.

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