ODE 1
Exercise 1

Below is the output of a Python session for computing the time of flight for 
the two objects using galileo_drag.

In [24]: run galileo_drag.py
Size of the time steps (tau): 0.1
Mass of object in kg (M): 1

Time of flight is 6.2 sec.
Speed at impact is -21.3826 m/s.

In [25]: run galileo_drag.py
Size of the time steps (tau): 0.1
Mass of object in kg (M): 100

Time of flight is 4.6 sec.
Speed at impact is -44.4807 m/s.

The time of flight for the less massive object is longer than the more massive 
object by about 1.6 s. One could clearly see the heavier object land first. 
The motion of the more massive object is essentially unaffected by drag. This 
makes sense since the force of gravity for this object is substantially larger 
than the drag force at these speeds. The plot for the 1 kg mass shows that it 
has almost reached terminal velocity before it hits the ground.