- #1
fog37
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- TL;DR Summary
- Kinematics cases with non-constant acceleration
Hello,
I understand that, for 1D kinematic problems where the acceleration function ##a_x## is initially given along with the initial conditions, we can use calculus (differentiation and integration) to get the position ##x(t)## and velocity ##v_x (t)## of the moving object.
Thanks!
I understand that, for 1D kinematic problems where the acceleration function ##a_x## is initially given along with the initial conditions, we can use calculus (differentiation and integration) to get the position ##x(t)## and velocity ##v_x (t)## of the moving object.
- When the acceleration is a function of position only, the velocity will also be a function of position and not depend on time, i.e. the object will always have the same velocity when it is found at a particular position.
- When the acceleration is a function of time ##t## only, regardless of where the object's position, the object's velocity will have specific values at instants of time after motion starts (Ex: a rocket accelerating moving upward has a time-dependent acceleration...or is it an example of position dependent acceleration?)
Thanks!