FirstPrinciplesby Physoly

AP Physics · F=ma · USAPhO

Find the physics model behind each miss.

FirstPrinciples maps each diagnostic choice to a named reasoning trap, then sends you to the exact Atlas entry and ladder rung that repairs it.

For students working from AP mechanics toward F=ma and USAPhO. Practice sites tell you what you missed — this maps why.

Live example

Watch one miss get diagnosed.

A real item from the diagnostic — a car rounding a flat curve at constant speed. Pick any answer. The bench traces your choice to a misconception code, the Atlas entry that explains it, and the ladder rung that repairs it.

Diagnostic Bench / unit ecs·01 IDLE
problem · Q04 mechanics · circular motion

A car rounds a flat curve at constant speed. The direction of the net force on the car is:

Select an answer. The bench traces it through the correction loop. No score kept.

awaiting answer

select a choice below to acquire a signal

answer
pattern
code
evidence
atlas
rung

Expert-coded distractors turn answer choices into evidence; written-work review belongs in the cohort layer.

The correction loop

Every miss runs through the same six steps.

Wrong choice → misconception code → report → atlas entry → ladder rung. The same coding rules power the report, Atlas links, and recommendations.

Error-correction loop
  1. 1
    Answer pattern
    diagnose
  2. 2
    Misconception code
  3. 3
    Diagnostic report
    explain
  4. 4
    Error Atlas entry
  5. 5
    Recommended rung
    repair
  6. 6
    Progress data
↺  repeat attempts reveal which traps persist

Three surfaces

Diagnosis, atlas, ladder — wired together.

Practice alone rehearses mistakes. Here, each attempt decides what you read next and which problem you work next.

diagnostic report
Diagnostic Report DiagramA bar chart showing A, B, C, D answer splits where the incorrect choice B points to a specific reasoning trap code NL-05.ABCDNL-05

Your answer pattern, decoded

Each wrong answer maps to a specific reasoning trap — not just “incorrect,” but why you picked that one.

Run the diagnostic
error atlas
θ = 25°mg·cosθmg·sinθmgNf

66 catalogued misconceptions

Why the wrong answer felt right, and the physics that replaces it.

Open the Atlas
problem ladder
Problem Ladder DiagramA vertical axis showing problem difficulty rungs, with the current rung highlighted.rung 2

57 problems, 3 ladders

One new idea per rung. From a single force balance up to Olympiad-level reasoning.

View the ladder

Verified reach

Where the numbers come from.

Full methodology
19,185 prep users
2,102 diagnostics completed
9,902 problems attempted 623 active
65 verified cohort 45 paired pre/post

65 of 19,185 reached the verified cohort. 45 matched pre/post pairs.

Does knowing which reasoning step broke actually help more than doing another practice set?

Baseline diagnostic, targeted ladder work, held-out follow-up, paired comparison. Results get published with the denominator attached.