Range vs Angle: g from R = (v₀²/g) sin 2θ
With fixed v₀, measure horizontal range R(θ) on flat ground, fit y = R vs x = sin2θ, slope = v₀²/g.
Goal
Recover g = v₀² / slope. v₀ = 20 m/s (set in the lab).
Equipment
- Launcher, rangefinder
Theory
R = (v₀²/g) sin 2θ for flat range.
Procedure
- Several angles, record R; sin(2θ) in table.
Experiment
Conclusion
g is close to 9.81 m/s².