Projectile Motion Formula Sheet
You can find the proofs of these results in our tutorial videos
Vertical Motion
Acceleration: 𝑦 = −𝑔 (where g is gravitational pull)
Velocity: 𝑦 = −𝑔𝑡 + 𝑉 sin 𝜃
Displacement: 𝑦 = − 𝑔𝑡2
2+𝑉𝑡 sin 𝜃
Horizontal Motion
Acceleration: 𝑥 = 0
Velocity: 𝑥 = 𝑉 cos 𝜃
Displacement: 𝑥 = 𝑉𝑡 cos 𝜃
Other Important Results
Cartesian Equation of Motion: 𝑦 = − 𝑔𝑥
2𝑉2(1 + tan2𝜃)+ 𝑥 tan 𝜃
Time of Flight: 𝑡 = 2𝑉 sin 𝜃
𝑔
Maximum Range: 𝑥 = 𝑉2
𝑔
Maximum Height: 𝑦 = 𝑉2sin2𝜃
2𝑔
