Aim Given the initial velocity and height of a 1D point particle, thrown up or down, calculate the velocity as a function of time in the presence of air friction. Background The equation of motion that governs 1D motion with air friction is given below: ma(t)=mg1/2**A*Cd*^2 where is air density, A is the cross section area of the object Cd is a geometric constant. The drag force (the second term) is always in opposite direction to the velocity. Tasks USER INPUT: the initial velocity in m/sec and the height. The simulation of the motion should last until the particle hits the ground. Handle objects being thrown up (i.e. positive initial velocity) or down (i.e. negative initial velocity). You can take reasonable values for the mass (e.g. 1 kg), the time step (e.g. 0.001 sec) and the friction paramaters. Produce output file (S-fric1D.dat) which contains three columns: time, height, velocity. Hints Note that for both sets of initial conditions, terminal velocity has been reached. Allowed Libraries: math random mathplotlib.pyplot or any other equivalent plotting library for constants, see the links on top.