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**1. A car accelerates for 200 meters and has an initial velocity of 2.0 m/s and a final velocity of 6 m/s. What is the acceleration of the car if this change in velocity takes 12 seconds?**

**2. Homework Equations**

a=Δv/Δt

Δx=Vi*t+.5at

a=Δv/Δt

Δx=Vi*t+.5at

^{2}**3. The Attempt at a Solution**

When I solve this using the first equation I get the acceleration is equal to .33 m/s

However when I use

When I solve this using the first equation I get the acceleration is equal to .33 m/s

^{2}because (6m/s - 2m/s)/ 12 seconds = .33 m/s^{2}However when I use

**Δx=Vi*t+.5at**^{2}I get**200m= 2m/s*12 sec+.5*a*12 sec**

^{2 With a being equal to 2.4 m/s2 Which of these answers would be the correct answer to this problem. I am inclined to believe that the correct answer would be the first answer. However I am not sure as to why this would be the case. I am looking for a concrete reason as to why one solution would be more correct than the other. }