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**1. Homework Statement**

The velocity of a particle moving along the x axis varies in time according to the expression

v(t)=α+βt

α=46.4m/s

β=4.25m/s

t is in seconds

Find the average acceleration in the time interval from t=0 to 3.63s.

Answer in units of m/s

The velocity of a particle moving along the x axis varies in time according to the expression

v(t)=α+βt

^{2}α=46.4m/s

β=4.25m/s

^{3}t is in seconds

Find the average acceleration in the time interval from t=0 to 3.63s.

Answer in units of m/s

^{2}**2. Homework Equations**

I really do not have the slightest idea as to what equation to use for this. I know I need to find the average acceleration which is a=Δv/Δt, however, I don't recognize how to get the initial and final velocities out of that problem. It's already given me the initial time and final time so obviously 3.63s-0s=3.63s but as previously stated, how do I pull the initial and finals out of that? (Even if that is the way to go about it.) I have tried a few things and my results of those will be under this.

I really do not have the slightest idea as to what equation to use for this. I know I need to find the average acceleration which is a=Δv/Δt, however, I don't recognize how to get the initial and final velocities out of that problem. It's already given me the initial time and final time so obviously 3.63s-0s=3.63s but as previously stated, how do I pull the initial and finals out of that? (Even if that is the way to go about it.) I have tried a few things and my results of those will be under this.

**3. The Attempt at a Solution**

First I got 28.20986915 just by plugging and chugging. I'm still working on it but I am in desperate need of a quick lesson on how to solve this problem and the concepts of it.

Please, no answers; I only want to know and understand how to solve this.

Thank you.

First I got 28.20986915 just by plugging and chugging. I'm still working on it but I am in desperate need of a quick lesson on how to solve this problem and the concepts of it.

Please, no answers; I only want to know and understand how to solve this.

Thank you.