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Deceleration's 100 math problems thread!; Absolute torture...
Topic Started: Aug 4 2011, 04:22 AM (5,629 Views)
Deceleration
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Coreling Conquerer

This question actually requires no calculus, only a couple physics equations relating force and friction.
 
Brayzure
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The Analytic Commander

Regardless, physics formulas pop up every now and again in Calc.
 
Deceleration
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Coreling Conquerer

Only certain formulas, and quite general ones at that.
 
Brayzure
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The Analytic Commander

But if they do the job, then so what?
 
Deceleration
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Coreling Conquerer

They only do the job if said job happens to be a very particular type of job. And my questions do no fit particular types of jobs.
 
Shell-Core
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Heavy Assault Frigate
Hmm... Seems like that this thread has been inactive for a couple of months now.
 
Deceleration
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Coreling Conquerer

Out of boredom, let's "solve" question 19.

I tell you the car's initial and final velocities, and the time it takes to change the velocity. You calculate acceleration, (velocity final minus velocity initial, all divided by time) while according to Newton's second law the sum of all forces equals mass times acceleration, F=ma.

The only force acting on the car in the x (horizontal) direction is the force of friction, which equals mu (coefficient of friction) times normal force (FN). As the car experiences no acceleration in the vertical direction, FN=Weight, or W. W=mass times acceleration. Mu therefore equals friction divided by FN, or friction divided by weight. Friction equals mass times acceleration you solved for earlier, so mass cancels out (which is why I did not give the car's mass) and the answer is the car's acceleration divided by g, or gravitational acceleration, usually given as 9.8 m/s2. Solve for the car's acceleration (or deceleration, since it's slowing down) and you can find the coefficient of friction easily.

So you see, I used zero calculus. Don't use calculus when it's not needed, derp.
 
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