AVERAGE VELOCITY: V = d/t V = (Vi + Vf)/2
Final Velocity: Vf = Vi + at Changing A= Δv/t gives you: 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 = Vi2 + 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 + 37.5m d= 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)