Hello Forum,
I am studying projectile motion in a physics course. Given the equations, it is easy to find the launching angle theta to obtain the maximum range. That angle is 45 degrees.
The maximum time of flight is obtain for theta=90 degrees, that is, the projectile is launched straight up and the range is zero.
I would like to find the launch angle to obtain the maximum range and maximum time of flight simultaneously. The must be an angle such that the obtained range and time of flight may not be the maximum they can be but together are the largest...
How would I set the problem up to find this special launch angle? Do I need to create a new function that depends on theta and is created using the range equation and the time of flight equation? for instance, if the range is R(theta) and the time of flight is T(theta), would it be about maximizing the product R(theta)*T(theta) or the sum R(theta)+T(theta)? Or something else?
thanks!
cloud2017
I am studying projectile motion in a physics course. Given the equations, it is easy to find the launching angle theta to obtain the maximum range. That angle is 45 degrees.
The maximum time of flight is obtain for theta=90 degrees, that is, the projectile is launched straight up and the range is zero.
I would like to find the launch angle to obtain the maximum range and maximum time of flight simultaneously. The must be an angle such that the obtained range and time of flight may not be the maximum they can be but together are the largest...
How would I set the problem up to find this special launch angle? Do I need to create a new function that depends on theta and is created using the range equation and the time of flight equation? for instance, if the range is R(theta) and the time of flight is T(theta), would it be about maximizing the product R(theta)*T(theta) or the sum R(theta)+T(theta)? Or something else?
thanks!
cloud2017