How would I solve a problem like this.

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To determine how far a car travels on a street with an initial velocity and a high coefficient of friction, one can use the formula F = μN to calculate the force of friction. The equations v²_f = v²_i + 2ad and x = vt + 1/2at² are essential for solving the problem. It’s important to note that if the coefficient of friction is excessively high, the car may not move at all. By assuming constant motion in a straight line, the forward force equals the force of friction, leading to the simplification a = μg. This method allows for the calculation of distance traveled by inserting the acceleration into the distance formula.
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I was just wondering how you would solve how far a car would travel on a street with an initial velocity with a a high coefficient of friction. Its not homework or anything. How would you solve a problem like this?
 
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F=\mu N

v^{2}_{f}=v^{2}_{i} + 2 a d

Then do algebra.
 
Be carefull, if the coefficient of friction is too high the car will not move, lol.

But its simple:x = vt + 1/2at^2
To find a in the above equation= Force of friction = umg, To make it simple, assume constant motion in a straight line. therefore, foward force = force of friction
umg= ma, m cancels therfore, a=ug, you know u and solve for a! Insert into above equation.
 

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