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We know,

F = m*f, [ m = mass, f = accelaration]

or,F = m*(dv/dt), [dv/dt = change of velocity with respect to time]

or,F=m*(d^2x/dt^2) [v = dx/dt].

Solving this differential equation yields

x=x0+v0*t+1/2*(F/m)*t^2

where x0, and v0 are the initial position and velocity, respectively.

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