programming language is python, jupyter notebook. I already have functions called;

forceMagnitude(mi, mj, sep);;two masses, seperation. gives me force magnitude

magnitude(vec); Gives me the magnitued of a vector

unitDirectionVector(pos_a, pos_b);Gives me a unit vector in the given direction

forceVector(mi, mj, pos_i, pos_j);

 Computes the gravitational force vector exerted on particle i by particle j

calculateForceVectors(masses, positions); Calculates the force vectors with any amount of masses and positions.

Test this function to make sure you understand what it is doing. 13 l (20%) Write a function called calcul ateTrajectories whose purpose is to evolve particle initial positions and initial velocities in time. It should start from initial positions and velocities, 2 take a step forward in time, calculate new positions and velocities, store these new values in arrays, and then repeat that process over and over again. Inside this loop, your function should call the updateParticles function whenever you want to advance the positions and velocities by a time step. ing descrihes one nossible way that your calculateTrajectories function could Test this function to make sure you understand what it is doing. 13 l (20%) Write a function called calcul ateTrajectories whose purpose is to evolve particle initial positions and initial velocities in time. It should start from initial positions and velocities, 2 take a step forward in time, calculate new positions and velocities, store these new values in arrays, and then repeat that process over and over again. Inside this loop, your function should call the updateParticles function whenever you want to advance the positions and velocities by a time step. ing descrihes one nossible way that your calculateTrajectories function could