AVERAGE VELOCITY:

V = d/t

V = (Vi + Vf)/2

Final Velocity:

Changing A= Δv/t gives you:

Vf = Vi + at

On reference table

FINDING VALUES WITHOUT TIME:

Ex: A car traveling at 14m/s brakes until it has a velocity of 10 m/s. If it traveled 30m, what is the cars acceleration?

(10m/s)2= (14m/s)2 +2 (A)(30m) 100 = 196+60A - 96 = 60A A= -1.6 m/s2

Vf2 = Vi

2 + 2ad

DISPLACEMENT FORMULA: d = Vit + 1/2at2

Ex: A car traveling with a velocity of 10m/s accelerates at a rate of 3m/s2 for 5.0 seconds. How far does it travel ?

d= 10m/s(5sec) + ½ (3m/s2)(5sec)2

d= 50m + ½(75m)d= 50m + 37.5md= 87.5m

SOLVING PROBLEMS

• Carefully read problem• List and label information• Determine which formula to use• Plug in values• Calculate• Write the answer with units

Dimensional Analysis: Showing units on both sides of a formula are consistent

Vf = Vi + A(t)

m/s = m/s + m/s2(s) m/s = m/s + m/s (correct)

d= V/(2A)m = (m/s)/(m/s2 )m = (m/s)(s2/m)m ≠ s(bad formula)