If a particle that moves in only one dimension is subject to a force Fi between the time
steps ti and ti+1, the velocity vi and position xi of the particle is:
v[i] := v[i − 1] +(1/m)*F[i]*Δt
x[i] := x[i − 1] + 0.5 (v[i − 1] + v[i])
Use the mean of v between ti and ti+1 when updating xi, since the value may change
a lot from step to step. In the subsequent, we set the mass m = 1 and the time steps
are Δt = 1, since we could absorb m and Δt in the expression for the force Fi anyway.
Write a procedure that computes xi and vi for a particle subject to random forces Fi,
uniformly distributed on the interval [-0.5..0.5].
I`ve written a procedure that generates random forces (F[i]) in the given interval. How can I write a for – procedure that computes xi and vi ?