- #1
LugubriuousLamia
- 10
- 3
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?
a=Δv/Δt
Δx=Vi*t+.5at2[/B]
When I solve this using the first equation I get the acceleration is equal to .33 m/s2 because (6m/s - 2m/s)/ 12 seconds = .33 m/s2
However when I use Δx=Vi*t+.5at2 I get[/B]
200m= 2m/s*12 sec+.5*a*12 sec2
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.
Homework Equations
a=Δv/Δt
Δx=Vi*t+.5at2[/B]
The Attempt at a Solution
When I solve this using the first equation I get the acceleration is equal to .33 m/s2 because (6m/s - 2m/s)/ 12 seconds = .33 m/s2
However when I use Δx=Vi*t+.5at2 I get[/B]
200m= 2m/s*12 sec+.5*a*12 sec2
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.