AP Physics 1 - Unit 1 Equations

Great tool for memorizing all the equations necessary for Unit 1 of AP Physics 1!

Δx = x - x₀

This equation represents the displacement (Δx) of an object, calculated as the difference between its final position (x) and its initial position (x₀); you may see variations of this formula

S_avg = d/t

This equation calculates average speed (S_avg) as the total distance (d) traveled divided by the total time (t) taken

V_avg = Δx/t

This equation defines average velocity (V_avg) as the displacement (Δx) divided by the time (t) it takes for that displacement to occur

x = x₀ + vt

This equation describes the position (x) of an object at a given time, calculated by adding the initial position (x₀) to the product of velocity (v) and time (t); it represents linear motion with constant velocity

Δx = ½ (v_f + v₀) * Δt

Displacement = ½ times (final + inital velocity) * change in time

v_f = v₀ + at

Final velocity = inital velocity + acceleration multiplied by time

Δx = v₀t + ½ at²

Displacement = velocity(time) + 1/2(acceleration)(time squared)

v_f² = v₀² + 2aΔx

Final velocity squared equals initial velocity squared plus 2(acceleration)(displacement)