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.

School· 24 min·Related simulator: Projectile Motion

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

  1. Several angles, record R; sin(2θ) in table.

Experiment

Conclusion

g is close to 9.81 m/s².