Question

So my question is about projectile motion. We just learned in class about the equation for finding the range: R=v^2sin(2theta)/g

I understand that and I think I see where it comes from. My question is, if someone were to collect data on the projectile range for different angles at a constant initial velocity, and then make a graph with range on the y-axis, what values should I use for the x-axis to create a linear graph?

I know it's not theta, because that wouldn't give me a straight line, since R is the same for different thetas. (Ex range is the same for a 30 degree angle and a 60 degree angle)

??

Answer 1

For a linear graph, plot sin(2theta) as the x axis variable.
theta = 30 and 60 degrees will have the same x value when plotted.

Answer 2

Thanks!