Find distance from ramp at which skier lands

Click For Summary

Homework Help Overview

The problem involves a skier leaving a ramp at a specified velocity and angle, with the goal of determining the distance from the ramp to the landing point, considering the slope of the mountain below. The subject area includes kinematics and projectile motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the interpretation of the problem, particularly whether the distance should be measured horizontally or along the slope. There are attempts to clarify the setup and equations involved, with some participants suggesting the use of trigonometry to resolve the distance along the slope.

Discussion Status

The discussion is active, with participants providing feedback on the clarity of the original poster's work and questioning the interpretation of the problem. Some guidance has been offered regarding the need to set up equations based on displacements and the importance of clarity in the presented work.

Contextual Notes

There is mention of an attachment that contains the original poster's calculations, which some participants find difficult to interpret. The original poster acknowledges a misinterpretation of the question regarding the distance measurement.

MickeyBlue
Messages
25
Reaction score
2

Homework Statement


A skier leaves the ramp of a ski jump with V=10.0 m/s at 15° above the horizontal. Slope of mountain below ramp is 50°. Assuming air resistance is negligible, find distance from end of ramp at which skier lands.

Homework Equations


1. sf = si + vist + ½ast2
2. tanΘ = y(t)/x(t)
3. Vix = VicosΘ
4. Viy = VisinΘ

The Attempt at a Solution


See attachment below. I'm fairly confident in my working yet I know 27.8m isn't correct. I'm having difficulty finding my mistake though. I'm hoping someone else is more eagle-eyed.
20160829_143053.jpg
 
Physics news on Phys.org
It's exceedingly difficult to make out the details of your work in your attached image. You'll have to do something about that if you want others to help.
 
MickeyBlue said:
find distance from end of ramp at which skier lands.
You mean the distance between take off point and landing point "along the slope of mountain"?
It is not 27.8m. It is hard to follow your working. Set up an equation using displacements as a function of time and a little trigonometry.
 
Sorry about that; it looked clearer from my side.
20160829_160347.jpg
 
MickeyBlue said:
Sorry about that; it looked clearer from my side. View attachment 105255
Looks good! Xf is the horizontal distance travelled. I thought the problem was asking for the distance along the slope. I think your answer is correct.
 
cnh1995, you're right. I misinterpreted the question. It should have been the distance along the slope.
 
MickeyBlue said:
It should have been the distance along the slope.
Then you can get it using simple trigonometry now that you have Xf.
 
I got the final answer. Thank you very much. :smile:
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
10K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 23 ·
Replies
23
Views
9K
  • · Replies 2 ·
Replies
2
Views
11K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
7K
Replies
1
Views
2K
Replies
17
Views
12K