- #1
fog37
- 1,568
- 108
Hello Forum,
I am aware that in order to maximize the time of flight, for an object being launched from a certain level and returning to the same level, the launching angle must be theta=90 degrees.
To maximize range instead (same level to same level) the angle should be theta=45 degrees (no air resistance).
What if we wanted to maximize both time of flight and range simultaneously? What approach would we choose? How would we manipulate the kinematic equations? The angle should be more than 45 (intuitively). But maybe the 45 degree angle which produces the longest distance requires the horizontal velocity component to act for the longest time possible... So maybe 45 degrees maximizes both range and time of flight at the same time...thanks,
fog37
I am aware that in order to maximize the time of flight, for an object being launched from a certain level and returning to the same level, the launching angle must be theta=90 degrees.
To maximize range instead (same level to same level) the angle should be theta=45 degrees (no air resistance).
What if we wanted to maximize both time of flight and range simultaneously? What approach would we choose? How would we manipulate the kinematic equations? The angle should be more than 45 (intuitively). But maybe the 45 degree angle which produces the longest distance requires the horizontal velocity component to act for the longest time possible... So maybe 45 degrees maximizes both range and time of flight at the same time...thanks,
fog37