How Can You Experimentally Determine the Maximum Range of a Projectile?

AI Thread Summary
To experimentally determine the maximum range of a projectile without using the standard equation, one can launch the projectile at various angles and measure the resulting distances. The experiment should be conducted on a football field, focusing on maintaining a constant launch speed. Participants discussed using the relationship between height and range, suggesting that the equation R = 4H/tan(theta) could be applicable. The goal is to identify the angle that produces the maximum range while adhering to the constraints of the experiment. This approach emphasizes hands-on experimentation and data collection to derive conclusions about projectile motion.
lplover1990
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how do you determine the maximum range w/o using the equation dx= v^2 sin2 feta/g

because i need to design an experiment to figure out the maximum horizontal range of a frictionless, spherical ball
 
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Why not use that equation?
 
because we're not allowed to..
 
can you describe a little more about the experiment you need to design?

are you supposed to launch the projectile at different angles and find the angle at which the range is maximum?

is the launching speed constant?
 
a we were told was that were not allowed to use the special formula(he one i told you about before, and that we're to find the max range of it with an independant and dependat variabl(range)...that's all and it should be be taking place on a football field...i was thiking to do what you just said but how could i if i can't use that formula
 
lplover1990 said:
a we were told was that were not allowed to use the special formula(he one i told you about before, and that we're to find the max range of it with an independant and dependat variabl(range)...that's all and it should be be taking place on a football field...i was thiking to do what you just said but how could i if i can't use that formula

tan(theta) = 4H/R

R = 4H/tan(theta)

how about this equation?
 

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