Kinematics Problem Decomposition Chain

validated scientific chain v1.0.0 cc-by-sa

Block ID: eaf2409e-1743-4fff-bb0e-faa46e459faa

Community-contributed block. PromptDNA makes no guarantee of output quality or fitness for purpose. User assumes all responsibility for use.

Template

Solve the motion problem in {kinematics_problem} with full decomposition. (1) Draw the situation in words: define the coordinate system, positive directions, and origin explicitly — sign errors from an undeclared convention are the dominant failure mode. (2) List knowns and unknowns symbolically with units, marking which quantities are vectors and resolving any vector givens into components along the chosen axes. (3) Identify the motion regime per phase: constant velocity, constant acceleration, or neither — and if the problem has phases (e.g., accelerate then coast), split it at the boundaries and solve each phase with its own equations, linking them by continuity of position and velocity. (4) Select the kinematic equation per phase that connects the knowns to the target unknown, stating why that equation and not another. (5) Solve symbolically first, substituting numbers only at the end — this exposes cancellations and makes checking easier. (6) Verify: check units, check limiting cases (does the answer behave sensibly as a given goes to zero or grows large?), and confirm the sign of the result matches the declared convention.

Solve the motion problem in {kinematics_problem} with full decomposition. (1) Draw the situation in words: define the coordinate system, positive directions, and origin explicitly — sign errors from an undeclared convention are the dominant failure mode. (2) List knowns and unknowns symbolically with units, marking which quantities are vectors and resolving any vector givens into components along the chosen axes. (3) Identify the motion regime per phase: constant velocity, constant acceleration, or neither — and if the problem has phases (e.g., accelerate then coast), split it at the boundaries and solve each phase with its own equations, linking them by continuity of position and velocity. (4) Select the kinematic equation per phase that connects the knowns to the target unknown, stating why that equation and not another. (5) Solve symbolically first, substituting numbers only at the end — this exposes cancellations and makes checking easier. (6) Verify: check units, check limiting cases (does the answer behave sensibly as a given goes to zero or grows large?), and confirm the sign of the result matches the declared convention.

Variables

Name	Type	Required	Trust level
kinematics_problem		yes

kinematicsphysicsmechanicschain-of-thought

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Submitted by James P FounderMod via mcp · 2026-07-18