(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on your choice of origin and/or your choice of positive direction?

2. Relevant equations

[tex]y(t)=vt-\frac{1}{2}gt^2[/tex]

3. The attempt at a solution

first I tried just remembering my old physics lectures. I remember my teacher saying something about having free choice of origin and and positive direction.

But, I tried to prove that by

taking the derivative of [tex]y(t)=vt-\frac{1}{2}gt^2+a[/tex]; where a is the y coordinate of the origin.

Solving for when velocity is 0, I took that value and subsituted it into y(t).

To me it seems the "a" term changes the value of the displacement.

But I'm not sure

Please help.

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# Homework Help: Lavabomb kinematics

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