.A cart rolling down an incline for 5.0 seconds has an acceleration of 1.6 m/s2. If the cart has a beginning speed of 2.0 m/s, and its final velocity of 10 m/s, what was the car's displacement?

Use the formula,

where is the cart's displacement (from the origin), is its initial speed, is its acceleration, and is time.

Alternatively, since acceleration is constant, we have

That is, we have these two equivalent expressions for average velocity, where is the cart's final velocity. Solve for :

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