Classical Mechanics Homework Assignment #2, due by 5 pm Monday October 3 to the box outside Krishna’s office Lab 2 3255. All problems from Taylor except as indicated.

1. 1.45 (see hint below)
2. 2.11
3. 2.13
4. 2.14
5. 2.19
6. 2.20
7. (optional extension). In 2.20, you drew trajectories for fixed speed and angle but different drag coefficients and compared to no drag. For this optional extension, draw trajectories for fixed speed and drag coefficient, but different angles and compare to trajectories for no drag for the same angle. Pick enough angles between 0 and pi/2 so you can get a sense of the deviations of including drag compared to no drag. For which angle(s) is the range between the drag and no-drag case the largest? Is this consistent with equation (2.44)?

Hint for 1.45: If v(t) has constant magnitude, then v(t)·v(t) (note the dot indicating dot product) is also constant. Note that v·v = v² (by definition, I think).