Kinematics formula

Vi

Initial velocity in projectile motion.

Vix

Initial velocity in the x/horizontal direction, calculated as Vix = Vi cos θ.

Viy

Initial velocity in the y/vertical direction, calculated as Viy = Vi sin θ.

Formula for maximum height/displacement during projectile motion when final velocity is 0

y = (Vf² - Vi²) / (2a), using a = -9.8 m/s².

Second formula for maximum height/displacement

y = ½ Viy² / (2g), where g = 9.8 m/s².

Time for projectile to reach its maximum height

t = (Vf - Vi) / a, where Vf = 0 and a = -9.8 m/s².

Average velocity when acceleration is constant

Average velocity = (Vf + Vi) / 2.

Displacement formula when acceleration is constant

X = (Vf + Vi) / 2 * time.

Time calculation formula when acceleration is constant

Time = (Vf - Vi) / a.

Range formula for projectile motion

Range = Vix * time or Vii² sin(2θ) / g.

Vertical displacement formula in projectile motion

Vertical displacement = Viy * time - 1/2 * g * t².

Calculation for Viy in projectile motion

Viy = Vi sin θ.