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Calculus/solve for indicated variable (pre-cal)

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Question
h=1/2gt^2 + v0t

solve for t

Answer
Hi Ashlee , this is a quadratic equation. Let's change a little
bit how its written : h=1/2gt^2 + v0t = 0.5gt^2+vot-h
The quadratic equation has 2 solutions :

    -vo+sqrt[vo^2-4*0.5*(-h)]          -vo+sqrt[vo^2+2h]
t1= --------------------------    =    ------------------
               2*0.5g                          g


   -vo-sqrt[vo^2-4*0.5*(-h)]           -vo-sqrt[vo^2+2h]          
t2= --------------------------    =    ------------------
               2*0.5g                           g

Usually one solution of the two , is not physically valid, for instance negative value. So we disqualify it & take the other
one as 'the' solution


Alon.

Calculus

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Alon Mandes

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Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

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1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

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M.A in Mathematics & Bs.c in Electronics.

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