Motion in a Plane
Class 11 · Motion in a Plane

Range vs Angle Curve

R = u²sin(2θ)/g — see the full curve and confirm max range at 45°.

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Key Notes

01

R vs θ is a symmetric curve peaking at θ = 45°.

02

R(θ) = R(90°−θ) — the range is symmetric about 45°.

03

Maximum range: Rmax = u²/g.

Formulas

Range formula

Varies with angle.

Important Points

Two angles give every range except the max — 30° and 60° both give R = u²√3/(2g).

Range vs Angle Curve notes from sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs, Physics Lab). Class 11 physics revision for JEE Mains, JEE Advanced, NEET UG, AP Physics 1/2/C, SAT, and CUET-UG.