Uniform Acceleration Formulas

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Presentation transcript:

Uniform Acceleration Formulas The purpose of these notes/examples is to derive formulas related to uniform acceleration.

x t

note linear relationship: v note linear relationship: y = mx + b form t

note linear relationship: y = mx + b form (slope) (time) + (initial velocity) Δv Δt v t + v0 Δv Δt acceleration a v at + v0

the area

A1 = lw A2 = ½ bh A1 = (v0 ) (t) A2 = ½ (t) (Δv) Δv = aΔt Δv = at since a = , Δv = aΔt Δv = at A2 = ½ (t) (at) A2 = ½ at 2

½at2 + v0t x – x0 = ½at2 + v0t x = ½at2 + v0t + x0

Let’s use one of our formulas… A car initially traveling at 15 m/s accelerates at a constant rate of 4.5 m/s/s for 25 seconds. What is the displacement of the car in 25 seconds?