101 - Ballistic Motion

The equations of motion for an object with initial velocity \(\vec{v_0} = (v_{0x},v_{0y})\) under the influence of gravity \((g = 9.8 m/s^2)\) are:

\[ x = v_{0x} \cdot t\]

\[ y = v_{0y} \cdot t - \frac{1}{2} g \cdot t^{2}\]

Exercise 1: Fix the value of \(\vert\vec{v_0}\vert\) and make a plot of the trajectories of objects launched at various angles. The resulting plot should look something like:

Exercise 2:

• add bounce

Exercise 3:

• plot ballistic motion (for various angles) with a round obstacle at some position in the sky, check if the object hits the obstacle and interrupt the trajectory at that point if it does