Hello, I have a question regarding how I'm simulating motion using the common time integrating approach to simulating rigid bodies.(adsbygoogle = window.adsbygoogle || []).push({});

I have net forces and solve for position from those:

acceleration = force / mass

velocity = initial velocity + acceleration * time

position = initial position + velocity * time

but if you combine the above and distribute you get something that matches the kinematic equation, but is missing the one half term. Where'd it go?

position = initial position + (initial velocity + (force / mass) * time) * time)

position = initial position + initial velocity * time + (force / mass) * time^2

which does not equal the kinematic equation

y = y0 + v0*t + (1/2)a*t^2

Where'd the one half go?

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# Kinematics and rigid body simulation

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