Exercise 1.2: One dimensional motion

Write a program to solve the 1d equations of motion for a falling object. Input values: $y_0=y(t=0)$; $v_0=v(t=0)$. Compare results with different $\Delta t$ and the exact solution. Plot $y(t)$ and $v(t)$. Use $y_0=10m$; $v_0=0$.

Figure 1: Forces acting on an object: a) moving upward b) falling.