How do you find the velocity with only the following given information?

AI Thread Summary
To find the final velocity of a racecar that starts from rest and accelerates over 400 m with a coefficient of friction of 1.0, one can use the equations of motion for constant acceleration. The key is to recognize that the maximum acceleration is determined by the coefficient of friction, which allows for the calculation of acceleration. The relevant equations include v = v0 + at and v^2 = v0^2 + 2ax, where v0 is the initial velocity, a is acceleration, and x is distance. By substituting the known values and solving, the final velocity can be determined. Understanding the relationship between friction, acceleration, and velocity is crucial for solving this problem.
aamir23
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Homework Statement



The coefficient of friction between a racecar’s wheels and the track is 1.0. The car starts from rest and accelerates at a constant rate for 400 m. Find the velocity at the end of the race.

so Vo=0m/s
x=400m
mu=1
acceleration is constant
and we need to find Vf

Homework Equations


Ff = muN
Velocity and acceleration:
v=dx/dt
a=dv/dt
Constant acceleration:
v = v0 +at
x = x0 +v0t + 1/2at^2
v^2 = vo^2 + 2ax

The Attempt at a Solution


Personally, I don't know how to approach this. If the mass, acceleration, or time were given I would be able to do this, but since they are not, I'm thoroughly stumped.
 
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I think the point is that since its a race, the car is accelerating as much as possible given the coefficient of friction. Do you agree with that? If so, use that to solve for the acceleration and you are home free.
 
Welcome to PF!

Hi aamir23! Welcome to PF! :smile:

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

Yes, I think Phyisab**** :smile: is right …

sometimes, you have to read the question very carefully, and then make an intelligent guess as to what's going through the examiner's mind! :rolleyes:
 
sweet. i just got it. Thanks a ton.
 

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