What Is the Distance a Skier Lands From a Ramp?

  • Thread starter Thread starter scharry03
  • Start date Start date
  • Tags Tags
    Motion
AI Thread Summary
A skier leaves a ramp at 10.0 m/s and 15.0° above the horizontal, with the ramp inclined at 50.0°. The equations used to calculate the landing distance include the vertical and horizontal motion equations. The user initially miscalculated the vertical final position (Yf) as positive instead of negative, leading to incorrect time and distance results. After recognizing this error, the user is seeking clarification on the correct approach to solve for the landing distance. Accurate calculations are crucial for determining the skier's landing point.
scharry03
Messages
12
Reaction score
1

Homework Statement


A skier leaves the ramp of a ski jump with a velocity of 10.0 m/s, 15.0° above the horizontal, as shown in Figure P3.57. The slope is inclined at 50.0°, and air resistance is negligible. Find the distance from the ramp to where the jumper lands .
image092020141179.png

Homework Equations


tan50degrees=Yf/Xf
Yf = Yi + Vyi(t) + .5(ay)t2
Xf=Xi+Vx(t)

The Attempt at a Solution


Plugging in numbers into the first second equation using the first equation and solving for distances gave me the following: Xf(tan50) = 2.59t + -4.9t2 . Then I solved for the third equation and resulted in Xf=9.66t. Plugging this into the partially solved second equation yielded: 9.66tan(50)t = 2.59t - 4.9t2 which simplifies to -4.9t2 - 8.91t. t is supposed to equal 2.88 seconds but my solution doesn't yield that at all. What am I doing wrong? Thanks.
 
Physics news on Phys.org
got it... the Yf i used was not negative.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Find distance from ramp at which skier lands
Replies
7
Views
2K
The End of the Ski Jump - Optimizing Launch Angle
Replies
9
Views
4K
Projectile Motion - Skier & Ramp
Replies
5
Views
6K
Minimum Speed for Motorcyclist to Successfully Cross a Ravine
Replies
6
Views
2K
Optimized Kinetic Energy of Skier on Incline & Horizontal Surface
Replies
23
Views
2K
Trajectory of a cyclist leaving a ramp
Replies
8
Views
2K
Projectile Motion: stream of water
Replies
18
Views
2K
What is the required velocity to make the field goal?
Replies
2
Views
2K
What Angle Causes Particles A and B to Collide?
Replies
3
Views
3K
What is the horizontal distance between a tilted conveyer belt and a pipe?
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top