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Kinematics Equations under Constant Acceleration

匀变速直线运动规律与位移公式

v=v0​+at,s=v0​t+21​at2,v2−v02​=2as

Theoretical Identity Description:

Calculates displacement (s) and final velocity (v) under constant linear acceleration (a) starting with initial velocity (v₀).

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Rigorous Derivation Tree

2 Logical Steps
Step 1check_circleValid Deduction
v=v0​+at,s=v0​t+21​at2,v2−v02​=2as

Foundational identity statement defined under standard mathematical conditions.

Step 2check_circleValid Deduction
s=v0​t+21​at2,v2−v02​=2as

Targeted algebraic evaluation and parameter substitution.

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CSCA Exam Triggers & Traps

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Use for 1D uniformly accelerated motion problems (free fall, vertical launch, braking deceleration).

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Ensure vector direction consistency: define positive axis direction before assigning signs to v₀, v, and a.

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Related Formulas in Mechanics

6 Formulas
Kinematics Equations under Constant Acceleration
匀变速直线运动规律与位移公式
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Uniform Circular Motion & Law of Universal Gravitation
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Simple Harmonic Motion & Mechanical Wave Speed
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