How Long Does It Take a Skier to Descend a 320m Hill at 2.30 m/s²?

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Homework Help Overview

The problem involves a skier accelerating down a 30.0° hill with a given acceleration of 2.30 m/s², aiming to determine the time taken to descend a vertical height of 320 m. The context is rooted in kinematics and motion analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss breaking down the motion into vertical and horizontal components and the implications of gravitational motion. There is mention of needing to calculate the total distance based on the hill's angle and height.

Discussion Status

Some participants have provided guidance on using kinematic equations relevant to the problem. Others express uncertainty about their understanding and the adequacy of their resources, indicating a mix of interpretations and attempts to clarify the problem setup.

Contextual Notes

One participant notes a lack of support from their teacher, which may affect their confidence in tackling the problem. There is also an emphasis on the importance of attempting to solve the problem before seeking help.

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A skier is accelerating down a 30.0° hill at a = 2.30 m/s2 (Fig. 3-36).

How long will it take her to reach the bottom of the hill, assuming she starts from rest and accelerates uniformly, if the elevation change is 320 m?
 
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You should post these questions in the homework forum, and you have to at least attempt an answer.
But to get you started,

Split the motion into vertical and horizontal components (draw a diagram)
What do you know about motion of an object under gravity?


ps. giving it a title that says something about the question will help somebody decide to answer it.
 
sorry, I am knew at this. I've already drawn the diagram, but my teacher is not very good at this and kind of just gives us assignments and tells us to teach ourselves with notes that arent very helpful. so i don't really know to much about working this type of problem
 
No problem ;-)

There are 3 equations for calcualting speed, distance, accelearation - depending which you know and which you want to find. They are detailed here https://www.physicsforums.com/showthread.php?t=110015

You are given the accelearation along the hill so that's easy.
All you need to find is the total distance the skier goes, and you can find that from the angle and the vertical change in height you are given.
 

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