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What equations are used when analyzing an object moving with a constant acceleration?

Can you please explain this in detail and why those formulas work with constant acceleration?

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Motion with Constant Acceleration

Constant acceleration occurs when an object's velocity changes by an equal amount in every equal time period.

There are five frequently used formulas for motion in a straight line with constant acceleration. The formulas are given in terms of the initial velocity u, the final velocity v, the displacement (position) x, the acceleration a and the time elapsed t.

User Trevor Orr
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