Mechanics
Projectile Range
Horizontal range of a projectile launched from ground level.
Variables
Rm
Range
Horizontal distance traveled
v₀m/s
Initial velocity
Launch speed
θ°
Launch angle
Angle above horizontal
gm/s²
Gravitational acceleration
≈ 9.8 m/s²
Derivation
Combine horizontal and vertical motion equations, solve for x when y = 0.
Your notes
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Common questions
What is the Projectile Range formula?
Projectile Range is written R = v₀² sin(2θ)/g. Horizontal range of a projectile launched from ground level. It belongs to Mechanics, under Kinematics.
What are the units in R = v₀² sin(2θ)/g?
In SI units, R is range, measured in m; v₀ is initial velocity, measured in m/s; θ is launch angle, measured in rad; g is gravitational acceleration, measured in m/s².
How is the Projectile Range formula derived?
Combine horizontal and vertical motion equations, solve for x when y = 0. The result is R = v₀² sin(2θ)/g.