Projectile Motion Formula Sheet
You can find the proofs of these results in our tutorial videos
Vertical Motion
Acceleration: ๐ฆ๓ฐ = โ๐ (where g is gravitational pull)
Velocity: ๐ฆ๓ฐ = โ๐๐ก + ๐ sin ๐
Displacement: ๐ฆ = โ ๐๐ก2
2+๐๐ก sin ๐
Horizontal Motion
Acceleration: ๐ฅ๓ฐ = 0
Velocity: ๐ฅ๓ฐ = ๐ cos ๐
Displacement: ๐ฅ = ๐๐ก cos ๐
Other Important Results
Cartesian Equation of Motion: ๐ฆ = โ ๐๐ฅ
2๐2(1 + tan2๐)+ ๐ฅ tan ๐
Time of Flight: ๐ก = 2๐ sin ๐
๐
Maximum Range: ๐ฅ = ๐2
๐
Maximum Height: ๐ฆ = ๐2sin2๐
2๐
