Kinematic Equations in y-Direction
Reference from the original Physics I textbook.
- Kinematic Equations in y-Direction
For constant y-acceleration, using signed scalar components:
y = y₀ + v₀ᵧΔt + ½aᵧ(Δt)²;
vᵧ² = v₀ᵧ² + 2aᵧΔy;
vᵧ = v₀ᵧ + aᵧΔt;
y = y₀ + ½(vᵧ + v₀ᵧ)Δt.y, y₀ = final and initial y-position (m); v₀ᵧ, vᵧ = initial and final y-velocity components (m/s); aᵧ = acceleration in the y-direction (m/s²); Δt = elapsed time (s).
- Index
Reviewed physics notes (2)
These corrections keep the original lesson’s purpose while fixing errors in the source edition.
- Final equation uses vₓ instead of vᵧ and scalar components should be used. — Reference 1
- The source labels aᵧ as acceleration in the x-direction. — Reference 1
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Kinematics
Kinematics describes motion using position, velocity, acceleration, and time without first analyzing its forces. The familiar constant-acceleration equations apply only over intervals in which that acceleration is constant. For example, a ball falling near Earth with negligible air resistance can be modeled with constant vertical acceleration.