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terff
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Homework Statement
So I have a group lab for physics, but I need some alg/trig help isolating v for a derived equation.
I've tried many times to to get v0 by itself but when I check the equation with the values that I have for each variable I always get the wrong answer.
∆y = v0(sinθ)(∆x/v0(cosθ)) + ½(a)(∆x/v0(cosθ))2)
Homework Equations
N/A
The Attempt at a Solution
Well my attempt was,
∆y = v0(sinθ)(∆x/v0(cosθ)) + ½(a)(∆x/v0(cosθ))2
then simplify the fractions in the addition
∆y = (sinθ)∆x/cosθ + (a)(∆x2)/(2v02(cosθ)2)
and then multiply by cosθ2 on both sides
∆y(cosθ)2 = (cosθ)(sinθ)(∆x) + (a)(∆x2)/2v02
subtract (cosθ)(sinθ)(∆x) on both sides
∆y(cosθ)2 - (cosθ)(sinθ)(∆x) = (a)(∆x2)/2v02
multiply 2v02 on both sides, then divide by 2∆y(cosθ)2 - (cosθ)(sinθ)(∆x) to get
v02 by itself
(a)(∆x2)/(2∆y(cosθ)2 - (cosθ)(sinθ)(∆x)) = v02
and then sqrt both sides
√(a(∆x2)/(2∆y(cosθ)2 - (cosθ)(sinθ)(∆x))) = v0
I tried it a few times with known values, once it came back correct, but with the other values, I tried multiple times and always got a wrong answer.
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