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1 vote
3 answers
217 views

Why does a particle initially at rest at origin with acceleration as square of its $x$ coordinate ever move?

Consider a particle initially at rest at origin, with acceleration, $a$, such that $ a(x)=x^2$. Since the particle is at origin, initial acceleration would be 0. It's also at rest initially. Its $x$-...
brainfreeze's user avatar
1 vote
3 answers
12k views

Does the SUVAT equations of motion (Kinematics) come from some differential equation?

Wikipedia says about the equations of motion that; "If the dynamics of a system is known, the equations are the solutions for the differential equations describing the motion of the dynamics.&...
Shadman Sakib's user avatar