Simple kinematics problem: avg. acceleration if a car's going 12 m/s and accel

AI Thread Summary
The discussion revolves around calculating average acceleration for a car initially traveling at 12 m/s and then accelerating at 1.7 m/s² for 12 seconds. The user initially struggles with visualizing the problem and determining the correct equations to use. They clarify that the 12 seconds of acceleration is the total time considered, and they realize that average acceleration can be calculated as the change in velocity over time. Ultimately, they determine that the average speed is the result of averaging the initial speed and the final speed after acceleration. The user acknowledges their earlier confusion regarding terminology and appreciates the assistance received.
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A basic kinematics problem that I just can't get for some reason. I'm having trouble visualizing the graph.

Homework Statement


What's the average acceleration if a car's going 12 m/s constant speed, then accelerates for 12 seconds at 1.7 m/s^2 acceleration?
Variables: none?

Homework Equations


? I do not know. At all.

The Attempt at a Solution


I had graphed speed over time with the function as a horizontal line until it reached the origin, where it gained a slope of 1.7 because of the acceleration. I don't know if I'm visualizing the increase in speed correctly or if it would become an exponential curve. If this was the result, I don't know how I would then find average speed--total distance over time. Would I need to know calculus to figure this out? So this is where I'm stuck.
 
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Missing information - it doesn't say how long it is going at constant speed.
You could use v = vi + at to find the final velocity.
The average acceleration would be a = (change in velocity)/time
where "time" would be the total of the constant speed time and the 12 seconds of acceleration.
 
Whoops! Yeah, I forgot to specify that the 12 s was the entire period... the time when it was going 12 m/s was not included in calculations except as a starting value, i.e. v(0).

I'm sorry, I did ending up figuring this out. It was just averaging 12 m/s with the speed after 12 s with acceleration, which was 32.4 m/sec - 1.7 m/s^2 times 12 seconds and plus 12 m/s initial speed - to get 22.2 m/sec.

Oh, and I put average acceleration instead of average speed. Well. I'm sorry, I was not being nice to you. :(
 
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