Set both cannons to Cannonball and the same Launch Speed.

Question

Set the right cannon's Launch Angle to anything other than 45 degrees.
Adjust the left cannon’s Launch Angle until you find an angle different than the right cannon's Launch Angle that gives the same range.
Repeat at least one more time.
What is the relationship between the two angles that have the same range?

They will both be either above or below 45 degrees.

They are complementary (add to 90 degrees).

The difference between the higher angle and 45 is equal to the lower angle.
Best answer

Answer 1

The correct answer to your question is that the two angles that give the same range are complementary, meaning they add up to 90 degrees.

This relationship arises from the physics of projectile motion. Specifically, if you have two angles \( \theta_1 \) and \( \theta_2 \) such that:

\[ \theta_1 + \theta_2 = 90^\circ \]

and both are set to the same launch speed, they will yield the same horizontal range when launched from the same height. This is because of the symmetrical nature of projectile motion in uniform gravity when considering angle and speed.

So, the best answer is: They are complementary (add to 90 degrees).