Kinematics: Final velocity components

Click For Summary

Homework Help Overview

The problem involves kinematics, specifically analyzing the motion of a skier leaving a ramp with an initial velocity and angle, and determining the velocity components just before landing on an inclined slope.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the skier's final velocity components using initial velocity and time of flight, but expresses uncertainty about their approach after receiving incorrect results. Some participants question the interpretation of the slope's angle and its implications for the skier's trajectory.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the slope's orientation and its effect on the calculations. There is an exploration of the assumptions made regarding the slope's angle, but no consensus has been reached on the correct interpretation or method.

Contextual Notes

The problem context includes potential ambiguities regarding the slope's angle and whether it is inclined upwards or downwards relative to the horizontal. The original poster has also noted previous calculations related to time in the air, which may influence the current analysis.

huynhtn2
Messages
29
Reaction score
0

Homework Statement


A skier leaves the ramp of a ski jump with a velocity of 10.9 m/s, 13.9° above the horizontal. The slope is inclined at 48.4°, and air resistance is negligible. Calculate the velocity components just before the landing. Enter the x-component (horizontal) first and then the y-component (vertical).


Homework Equations



d=vit + 0.5at^2
vf=vi +at
vf^2=Vi^2 +ad

The Attempt at a Solution



This is a second part of the question. So previously i found the total time the skier was in the air which was 2.965 seconds. I took his initial velocity and did Vsintheta to find verical velocity, and Vcostheta to find the horizontal velocity. Then i found the time where the skier reached his max height by using vf=vi +at and multiplied this time by 2.

Then i subtracted this time by the total time to see the time that he will accelerate down. I added the vertical velocity with the acceleration times the time accelerating to find the final velocity. But in the end it was wrong. What did i do wrong?
 
Physics news on Phys.org
huynhtn2 said:
The slope is inclined at 48.4°
Do you mean that the slope is declined at 48.4^\circ[/tex] (or that the slope falls at an angle of 48.4^\circ[/tex] below horizontal)?<br /> <br /> Or, is the skier truly jumping onto an uphill slope?
 
Heres a picture of it:
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    11.4 KB · Views: 416
zgozvrm said:
Do you mean that the slope is declined at 48.4^\circ[/tex] (or that the slope falls at an angle of 48.4^\circ[/tex] below horizontal)?<br /> <br /> Or, is the skier truly jumping onto an uphill slope?
<br /> <br /> Here is a picture of it:
 

Similar threads

Replies
3
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
8
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 9 ·
Replies
9
Views
2K