- #1
Saladsamurai
- 3,020
- 7
I recently helped someone in the homework forum with a problem that asked him to hit a target 8 miles away using a cannon or some other device involving projectile motion. Essentially, all we had to do was choose an initial angle and an initial velocity that would correspond to said angle that would reach a certain range R=8miles. Now my question is: we choose pi/4 as the initial angle because it is the most efficient; are there an infinite amount of combinations of initial velocities and angles that will reach a given range R ?