Understanding Stopping Distance for an Alfa Romeo

  • Context: Undergrad 
  • Thread starter Thread starter Amel
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around the concept of stopping distance for a vehicle, specifically an Alfa Romeo, based on its speed. Participants explore the relationship between speed and stopping distance, particularly focusing on the assumption that stopping distance is proportional to the square of the velocity. The conversation also touches on a separate problem related to Poiseuille's Law and fluid flow in pipes.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents a problem regarding the stopping distance of an Alfa Romeo at different speeds, seeking clarification on how to set up the problem mathematically.
  • Another participant notes that if two quantities are proportional, their quotient remains constant, which may relate to the stopping distance problem.
  • A third participant claims to have understood the initial problem correctly.
  • A separate problem involving Poiseuille's Law is introduced, asking for a formula for the rate of flow through a pipe based on its radius.
  • A participant suggests that the second problem should be moved to the homework/coursework section of the forum.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints, particularly regarding the initial stopping distance problem and the subsequent introduction of Poiseuille's Law. There is no clear consensus on the best approach to the stopping distance problem, and the second problem's placement in the forum is contested.

Contextual Notes

The stopping distance problem relies on the assumption of proportionality to the square of velocity, which may not be universally accepted without further context. The second problem's relationship to Poiseuille's Law is not fully explored, leaving potential assumptions unaddressed.

Amel
Messages
43
Reaction score
0
Ok so I have this problem and it seems pretty simple but I am not getting what its trying to say.

According to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 35 mph and at 125 mph.

How do you set this up, do I have to find an equation of a parabola whith the point (70, 177) and then find the others using it? The way its worded I am not sure can anyone confirm this or clerify it better for me?
 
Mathematics news on Phys.org
If two quantities are proportional to one other, then their quotient is a constant.
 
Thank you, I got it right.
 
Ok what about this one,

Poiseuille's Law gives the rate of flow, R, of a gas through a cylindrical pipe in terms of the radius of the pipe, r, for a fixed drop in pressure between the two ends of the pipe.

If R = 430 cm3/s in a pipe of radius 2 cm for a certain gas, find a formula for the rate of flow of that gas through a pipe of radius r cm.
 

Similar threads

MHB Solve Critical Thinking Math: Stopping Dist. 0.0074v²
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Looking for a formula for damage when sliding to a stop
  • · Replies 18 ·
Replies
18
Views
2K
Undergrad Understanding Stopping Distance & Its Relation to Speed and Angular Movement
  • · Replies 9 ·
Replies
9
Views
2K
Car Crash Analysis: Analyzing Friction & Speed
  • · Replies 9 ·
Replies
9
Views
5K
Stopping distance, Book is wrong?
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Stopping distance increased by how much? with a mass increase
  • · Replies 20 ·
Replies
20
Views
15K
High School What Determines the Speed of Light Limit?
  • · Replies 30 ·
2
Replies
30
Views
8K
Undergrad Hubble's Law: Distance, Speed, & Upper Limit
  • · Replies 1 ·
Replies
1
Views
1K
How Does Speed Affect Car Stopping Distance?
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Car Accident Physics - Are Wheels/Tires Good or Bad Energy Absorbers?
  • · Replies 1 ·
Replies
1
Views
2K