After years of procrastinating i've decided not to "move ahead" with physics without getting this ridiculously trivial question clear!*I know i had asked a similar question as silly and stupid as this one, however for some reason this equation keeps haunting me cause i see it almost everywhere in kinematics! *

We know that the position of a particle at any time is given by $x = x_{0} + v_{0}t + \frac{1}{2}at^2$.I'am aware that $x_{0}$ and $v_{0}$ are obtained by solving for the constants of integration at $t = 0$. But why should i even care what the velocity or the acceleration is?What purpose do they serve?What has these two quantities got to do with anything?

Ok.to be more "technical" Why should one "involve" velocity and acceleration when the equation is for determining postion at any given point in time?

To be honest i've tried to digest what this equation is really telling me by watching and reading numerous materials both online and offline regarding fundamentals of physics.Nothing seems to be working.I've decided to leave it to you as i seriously lack intuition.Let me reiterate by saying i've no problem with deriving this equation.

After years of procrastinating i've decided not to "move ahead" with physics without getting this ridiculously trivial question clear!*I know i had asked a similar question as silly and stupid as this one, however for some reason this equation keeps haunting me cause i see it almost everywhere in kinematics!

We know that the position of a particle at any time is given by $$x = x_{0} + v_{0}t + \frac{1}{2}at^2.$$ I'am aware that $x_{0}$ and $v_{0}$ are obtained by solving for the constants of integration at $t = 0$. But why should i even care what the velocity or the acceleration is? What purpose do they serve?What has these two quantities got to do with anything?

Ok.to be more "technical" Why should one "involve" velocity and acceleration when the equation is for determining position at any given point in time?

To be honest i've tried to digest what this equation is really telling me by watching and reading numerous materials both on-line and off-line regarding fundamentals of physics. Nothing seems to be working. I've decided to leave it to you as i seriously lack intuition. Let me reiterate by saying i've no problem with deriving this equation.

After years of procrastinating i've decided not to "move ahead" with physics without getting this ridiculously trivial question clear!

We know that the position of a particle at any time is given by $x = x_{0} + v_{0}t + \frac{1}{2}at^2$.I'am aware that $x_{0}$ and $v_{0}$ are obtained by solving for the constants of integration at $t = 0$. But why should i even care what the velocity or the acceleration is?What purpose do they serve?What has those two quantities got to do with anything?

Ok.to be more "technical" Why should one "involve" velocity and acceleration when the equation is for determining postion at any given point in time?

*I know i had asked a similar question as silly and stupid as this one, however for some reason this equation keeps haunting me cause i see it almost everywhere in kinematics! *

After years of procrastinating i've decided not to "move ahead" with physics without getting this ridiculously trivial question clear!*I know i had asked a similar question as silly and stupid as this one, however for some reason this equation keeps haunting me cause i see it almost everywhere in kinematics! *

We know that the position of a particle at any time is given by $x = x_{0} + v_{0}t + \frac{1}{2}at^2$.I'am aware that $x_{0}$ and $v_{0}$ are obtained by solving for the constants of integration at $t = 0$. But why should i even care what the velocity or the acceleration is?What purpose do they serve?What has these two quantities got to do with anything?

Ok.to be more "technical" Why should one "involve" velocity and acceleration when the equation is for determining postion at any given point in time?

To be honest i've tried to digest what this equation is really telling me by watching and reading numerous materials both online and offline regarding fundamentals of physics.Nothing seems to be working.I've decided to leave it to you as i seriously lack intuition.Let me reiterate by saying i've no problem with deriving this equation.