fig plot generated by the script ball_plot py showing the vertical position of the ball at thousand points in time and ending with stop the expression linspace( creates coordinates between and (including both and the mathematically inclined reader will notice that coordinates correspond to equal-sized intervals in oe and that the coordinates are then given by ti = ( the value returned from linspace (being stored in tis an arrayi collection of numbers when we start computing with this collection of numbers in the arithmetic expression * * * ** the expression is calculated for every number in ( every ti for )yielding similar collection of numbers in the result that isy is also an array this technique of computing all numbers "in one chunkis referred to as vectorization when it can be usedit is very handysince both the amount of code and computation time is reduced compared to writing corresponding for or while loop (for doing the same thing the plotting commands are simple plot(tymeans plotting all the coordinates versus all the coordinates xlabel(' ( )'places the text (son the axis ylabel(' ( )'places the text (mon the axis at this stageyou are strongly encouraged to do exercise it builds on the example abovebut is much simpler both with respect to the mathematics and the amount of numbers involved