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1

Displacement Equation: Δx = v₀t + (1/2)at²

Explanation: the displacement of an object can be calculated by multiplying the initial velocity by time and adding half of the acceleration multiplied by the square of the time.

Note: This equation is particularly useful when you want to determine the change in position of an object under constant acceleration.

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2

Velocity Equation: v_{x} = v_{x0} + a_{x}t

Explanation: the final velocity can be obtained by adding the initial velocity to the product of the acceleration and time.

Note: This equation is valuable for calculating the velocity of an object undergoing constant acceleration.

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3

Acceleration equation: v² = v₀² + 2aΔx

Explanation: the square of the final velocity can be determined by adding the square of the initial velocity to twice the acceleration multiplied by the displacement.

Note: This equation is particularly useful when you need to find the final velocity of an object based on its initial velocity, acceleration, and displacement.

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4

Time equation: t = (v - v₀) / a

Explanation: the time is equal to the difference in velocities divided by the acceleration

Note: This equation is useful for determining the time it takes for an object to undergo a specific change in velocity.

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5

Position equation: x = v₀t + (1/2)at²

Explanation: the position can be determined by multiplying the initial velocity by time and adding half of the acceleration multiplied by the square of the time.

Note: This equation allows you to calculate the position of an object undergoing constant acceleration.

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