Parabolic Motion

Projectile

Launch

Body

Velocity

Equations

x-axis

y-axis

𝑥=𝑥0+𝑣𝑥·𝑡

𝑣𝑦=𝑣0𝑦+𝑎𝑦·𝑡
𝑦=𝑦0+𝑣0𝑦·𝑡+12·𝑎𝑦·𝑡2

Position(m)

Horizontal axis

Vertical axis

𝑥=𝑣𝑥⋅𝑡=𝑣0·cos(𝛼)·𝑡

𝑦=H+v0y·t−12·𝑔·𝑡2=H+v0·sin(α)·t−12·𝑔·𝑡2

Velocity (m/s)

Horizontal axis

Vertical axis

𝑣𝑥=𝑣0𝑥=𝑣0·cos(𝛼)

𝑣𝑦=𝑣0𝑦−𝑔⋅𝑡=𝑣0·sin(𝛼)−𝑔⋅𝑡

Acceleration (m/s^2)

Horizontal axis

Vertical axis

𝑎𝑥=0

𝑎𝑦=−𝑔

Key Terms

Flight Time

Range

Maximum Height

Trajectory Angle

Examples

Movement

Objects

Gravity

Motion

Uniform

Rectilinear

Bike Stunts

Archery

Firing a Canon

Golf

Sneezing