Analyze position-time and velocity-time graphs. Solve 1D constant acceleration problems using kinematic equations with step-by-step calculus-aligned reasoning.
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Grade 11 · science · Matching answer key included · US Letter and A4
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Read graph axes and distinguish position, velocity and acceleration.
A graph's height and its slope describe different quantities; the axes determine which relationship applies.
Explain one segment's slope and check the units of the quantity it represents.
A high-speed train accelerates uniformly from rest (v₀ = 0 m/s) at a rate of 2.5 m/s² for 10 seconds. What is the train's final velocity vf and total displacement Δx over this interval?
Answer: A. Final velocity vf = v₀ + at = 0 + (2.5)(10) = 25 m/s. Displacement Δx = v₀t + 0.5at² = 0 + 0.5(2.5)(10²) = 0.5(2.5)(100) = 125 meters.
Intended curriculum references: NGSS.HS-PS2-1. These references describe learning goals; they are not endorsements.
Published 2026-10-02; updated 2026-10-02. Original MakeWorksheet practice. Automated consistency checks support publication; independent subject-specialist review is not recorded. Read our editorial policy.
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