Simple Physics Problem - Acceleration Formula

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To solve the physics problem of a cart rolling down a 5-meter incline for 6 seconds with an initial speed of 2 meters per second, the acceleration can be calculated using the formula a = (v1 - v2) / t. The final velocity is needed to determine acceleration, which requires understanding the relationship between distance, time, and acceleration. The formula x = x_0 + v_0 t + (1/2) a t^2 can be used, where x is the final position, x_0 is the initial position, v_0 is the initial velocity, t is time, and a is acceleration. Clarification on how to apply these variables is essential for finding the final velocity and subsequently the acceleration. Understanding these concepts is crucial for solving similar physics problems.
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1. A cart is rolling down an incline for 6 seconds. If the cart has a begginning speed of 2 meters per second and the incline is 5 meters long, what is the carts acceleration?



2. a= v1 - v2 / t



3. I'm just learning the acceleration formula in my physics class. I left my science book at school, thinking I would not need it because the worksheet we were given looked simple. But teacher threw in this problem and I'm not sure what to do about the incline. I need my final velocity to figure out the problem, but I'm sure what I do with the 5 meter long incline to get the final velocity.
 
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try to use x = x_0 + v_0 t + (1/2) a t^2
 
I'm not sure what all the variables in that formula are. I just need someone to explain how to get the final velocity.
 
x is final position, x_0 is initial position, v_0 is initial velocity, t is time, a = acceleration.
 
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