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AVERAGE VELOCITY: V = d/t V = (V i + V f )/2. Final Velocity:. Changing A= Δ v/t gives you:. V f = V i + at. On reference table. FINDING VALUES WITHOUT TIME:. V f 2 = V i 2 + 2ad.
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Final Velocity: Changing A= Δv/t gives you: Vf = Vi + at On reference table
FINDING VALUES WITHOUT TIME: Vf2 = Vi2 + 2ad 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
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)