STEM EVIDENCE WORKBENCH
Model signed one-dimensional relative motion, closing or separation, and future meeting claims from explicit positions and velocities.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
Object A follows xA = xA0 + vA t and object B follows xB = xB0 + vB t. Setting positions equal gives t = (xB0 - xA0)/(vA - vB). A zero relative velocity with nonzero separation has no meeting, while a negative solution describes an intersection before the stated start time. A supported claim agrees with the future or immediate intersection in the entered frame. Closing or separating describes how absolute separation changes over the next time unit; it is a review cue rather than a replacement for solving the equation. Verify signs by sketching the number line and checking both positions at the reported time.
Confirm the prompt, source values, units, signs, notation, precision, and model required by the current course. Keep an untouched copy of observations or responses before changing a row.
Run the worked example first, inspect every intermediate row, and compare the table with a hand calculation, diagram, graph, periodic table, or approved laboratory method.
Record the method, assumptions, units, rounding, limits, and any row that needs review. Use the exported report as editable evidence and verify it independently before assessment or laboratory use.
How to interpret the result
Use for catch-up, opposing-motion, or separation scenarios when learners need to translate words or graphs into one signed reference frame. The planner checks constant-velocity intersections. It does not model acceleration, curved paths, reaction time, collisions, vehicle length, route constraints, or safe separation.
A faster cart at position zero catches a slower cart 30 m ahead in 7.5 s. Two walkers approaching from positions zero and 20 m meet in 8 s. A pair moving farther apart has no future meeting. Objects already at the same position have an immediate t = 0 intersection even when their later velocities differ.
Object A follows xA = xA0 + vA t and object B follows xB = xB0 + vB t. Setting positions equal gives t = (xB0 - xA0)/(vA - vB). A zero relative velocity with nonzero separation has no meeting, while a negative solution describes an intersection before the stated start time.
A supported claim agrees with the future or immediate intersection in the entered frame. Closing or separating describes how absolute separation changes over the next time unit; it is a review cue rather than a replacement for solving the equation. Verify signs by sketching the number line and checking both positions at the reported time.
Do not use speed magnitudes without directions, mix coordinate origins, reverse the relative-velocity subtraction midway, accept a negative time as a future meeting, or confuse an algebraic intersection with a safe collision plan. Use consistent units and state when constant velocity is unrealistic.
Learning boundary
This browser-local workbench applies only the disclosed rules to entered values. It cannot diagnose learning, certify an experiment, establish a chemical fact, reconstruct missing evidence, or replace the method and judgment required by a teacher, curriculum, laboratory, or institution.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid names and other personal information, and retain authoritative records only in the system approved by the school.
No. A matched pattern describes the entered evidence under one disclosed rule. Ask for an explanation and review several evidence sources before deciding the next step.
Treat it as an editable calculation aid. Show your own reasoning, use the method requested by the course, cite required sources, and follow the applicable academic-integrity rules.
YOUR NIRMION
