What is the Relationship Between Acceleration and Time for a Skier on a Slope?

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Homework Help Overview

The discussion revolves around the relationship between acceleration and time for a skier descending a slope, starting from rest, with negligible friction. Participants explore the nature of acceleration in this context, questioning whether it remains constant or varies over time.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants initially consider whether acceleration is constant or varies, with some suggesting it might be equal to gravitational acceleration. Others question the implications of skiing down a slope versus free fall, leading to discussions about the nature of acceleration on an incline.

Discussion Status

There is an ongoing exploration of the relationship between acceleration and time, with some participants offering analogies to clarify their thoughts. While some guidance has been provided regarding the distinction between acceleration and speed, there is no explicit consensus on the final answer.

Contextual Notes

Participants are grappling with the definitions and implications of acceleration in the context of a slope, and there is an emphasis on understanding the differences between various scenarios, such as free fall versus sliding down an incline.

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Homework Statement


A skier begins skiing straight down a hill having a constant slope starting from rest. if friction is negligible as the skier goes down the hill his
Acceleration increases with time
Acceleration is constant with a value less than 10m/s^2
Acceleration is zero


Homework Equations


dont need one


The Attempt at a Solution


at first i thought the acc. was constant but had a value of about 10m/s^2 (gravity)
that was wrong.
 
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physicsgurl12 said:
at first i thought the acc. was constant but had a value of about 10m/s^2 (gravity)
That's the acceleration during free fall, not while sliding down an incline.

Do you think the acceleration down a hill is more or less than that? Hint: Imagine a very long, gentle slope.
 
i would guess it would be more than that.
 
is that right??/
 
What would be more than what? If you can be a little more specific, it would be helpful. And if you give us your thought process we can agree or help with where you might be making a mistake.
 
Ignea_unda said:
What would be more than what? If you can be a little more specific, it would be helpful. And if you give us your thought process we can agree or help with where you might be making a mistake.

okay so i guess that acceleration will increase with time. i guess I am thinking about it like if you put a skateboard on a hill it gets faster as it rolls down. so would the answer be acceleration increases with time. does this help you?
 
Nice analogy with the skateboard! :smile:

But you're mixing up acceleration and speed.
The speed of the skateboard increases as it rolls down.
Just like your speed would increase while falling down.

However, when you fall down, you fall down with a constant acceleration of g = 9.8 m/s2.
Since you're on a slope now with your skateboard, would your acceleration be more or less than when you fall down?
 
umm less than when you fall down
 
Yep! :approve:

So what's the answer?
 
  • #10
the answer would be acceleration is constant with a value less than 10m/s2
 
  • #11
Yes. Good job. :smile:
 
  • #12
Right! :cool:
 

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