Motion in a Plane
Class 11 · Motion in a Plane
Projectile from Height
Launch from a cliff — asymmetric trajectory with quadratic flight time.
Key Notes
01
From height h with initial velocity (v₀ₓ, v₀ᵧ), time of flight: T = (v₀ᵧ + √(v₀ᵧ² + 2gh))/g.
02
Range R = v₀ₓ · T.
03
Impact speed: v = √(v₀ₓ² + v₀ᵧ² + 2gh) (from energy conservation).
04
The trajectory is asymmetric — ascent time ≠ descent time.
Formulas
Time of flight (from h)
Solve quadratic for full trajectory.
Impact speed
Energy conservation: ½mu² + mgh = ½mv².
Important Points
Use energy conservation to find speed without computing velocity components.
Projectile from Height 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.