Solving quadratic equation in motion equations Is it possible

sexoagotadorogyr

sexoagotadorogyr

Answered question

2022-04-03

Solving quadratic equation in motion equations
Is it possible to solve this equation for t
xf=x0+v0t+t12at2?
It feels like its a quadratic but since x final and initial are not the same and sometimes initial is not zero any idea?

Answer & Explanation

Riya Erickson

Riya Erickson

Beginner2022-04-04Added 12 answers

The solution given on physics SE is most likely formatted incorrectly. It should be
t=v0±v022a(x0xf)a
This gives you the solutions t=0,t=1.65 and you can safely ignore the root t=0.
There is a simpler way to solve this equation. If x0 and xf are 0, you can remove them from the equation directly. The equation then becomes
2v0t=at2
Ignoring the trivial solution t=0,
t=2v0a=16.29.811.65
In physical terms, your equation of motion describes a ball thrown up with velocity v0. You are simply finding the time of flight of the particle in this case.

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