(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle move along the x-axis, each starting with V = 10 m/s at t = 0 seconds.

Find each particle's velocity at = 7.0 . Work with the geometry of the graphs, not with kinematic equations.

2. Relevant equations

A(t) = {10t +10, 0 ≤ x ≤ 2

-10t+30, 2 < x ≤ 8}

I think I wrote that right, I'm not very good at writing these on the computer yet.

There is a corner at A (t) = 30, which is (30,2) and the lines are connected. (wish I could draw a graph, can't link the picture.)

3. The attempt at a solution

I thought that if I just took the antiderivatives of those equations, evaluated the first equation for t=2 that would give me the velocity for t=2, this gave me 50 (5t^2 +10t +10). I then did the same process using the new C value for the antiderivative of the second equation (50) which ended up (-5t^2 +30t +50), I evaluated this for t=5, as that was the change in T from t=2 to t=7. This all gave me -25, and that was wrong. I have never worked with an acceleration that wasn't a constant. So I am more or less figuring this out on my own. I can't find this in my course text, and google is not coming up with much, probably just entering the wrong things. Any help is appreciated... Am I on the right path?

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# Homework Help: I need to find a velocity for a given t value, from a linear acceleration graph

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