AP Physics 1 Kinematic Equations

v_y = v_y0 + gt

This equation finds final vertical velocity using time and initial velocity.

V_y²= V²_y0 + 2g(Δy)

This equation finds the final vertical velocity without needing time in the equation.

y = y₀ + V_y0t + ½ g(or a) t²

This equation tracks the vertical position over time. (used for finding the highest point)

y - y_y = ((v_y0 + v_y)/2) t

This equation connects the average vertical speed to total travel time

v = v₀ + at

Final Velocity from Time, without using the displacement

Δx = v₀t + ½ at²

Displacement from Time and Acceleration. Missing the final velocity

Δx = ½ (v₀ + v)t

Displacement from Average Velocity. Without needing acceleration

v²=v²₀ + 2aΔx

Velocity from Displacement without time