suppose that you are Napoleon at the Battle of Waterloo. Your cannons have just arrived. the British are 1400 m to 1550 m away. the cannons you are using have muzzle velocities of 118 m/s and 200 m/s. Which cannons will you use and at what angle will you set them. there are two angles that will give the same distance for each cannon. one is greater than 45 degrees and one is less than 45 degrees. See if you can find both angles to use for each cannon, simply by trial ans error. then you have twice the firepower.
suppose that you are Napoleon at the Battle of Waterloo. Your cannons have just arrived. the British are 1400 m to 1550 m away. the cannons you are using have muzzle velocities of 118 m/s and 200 m/s. Which cannons will you use and at what angle will you set them. there are two angles that will give the same distance for each cannon. one is greater than 45 degrees and one is less than 45 degrees. See if you can find both angles to use for each cannon, simply by trial ans error. then you have twice the firepower.
To find the angle that maximizes the range of a cannon, we use the following formula:
tan(θ) = v2 / (g * d)
Where:
θ = launch angle
v = muzzle velocity (m/s)
g = acceleration due to gravity (9.8 m/s2 )
d = target distance (m)
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