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

2. x t

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

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

5. the area

6. 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

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

8. 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?