A car coasting with rolling drag and air drag

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SUMMARY

The discussion focuses on calculating the distance a car will coast under the influence of rolling drag and air drag, represented by the equation Drag = m(Mu*g + (V^2)/L). The initial velocity is denoted as V_0, and the acceleration is defined by a = V * dv/dt. Participants highlight the complexity of separating linear and non-linear components of drag and emphasize the importance of including the coefficient of friction (µ) in calculations.

PREREQUISITES
  • Understanding of basic physics concepts such as drag forces and motion equations.
  • Familiarity with calculus, specifically differential equations.
  • Knowledge of the coefficient of friction (µ) and its role in motion dynamics.
  • Ability to manipulate and solve equations involving variables like velocity (V) and distance (x).
NEXT STEPS
  • Study the effects of rolling resistance and air resistance on vehicle dynamics.
  • Learn how to solve differential equations related to motion, particularly in non-linear contexts.
  • Research the role of the coefficient of friction (µ) in various drag scenarios.
  • Explore numerical methods for simulating motion under variable drag forces.
USEFUL FOR

Physics students, automotive engineers, and anyone interested in understanding vehicle dynamics and drag forces in motion.

seanwfd
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Homework Statement


Drag=m(Mu*g+(V^2)/L)
L=constant with unit of length
initialV=V_0
how far the car will coast under this condition with initial V
how long does it take to stop

Homework Equations


a=V*dv/dt


The Attempt at a Solution


there are linear and non-linear parts in this drag
I tried to solve them separately but I can only find v'=e^-(V_0*x*L)
 
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welcome to pf!

hi seanwfd! welcome to pf! :smile:

(have a a mu: µ and try using the X2 and X2 icons just above the Reply box :wink:)

that doesn't look right … what happened to the µ ? :redface:

show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

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