Kinematics (Motion in 1D and 2D): One-Page Formula Sheet

Kinematics (Motion in 1D and 2D) — formula sheet

Formulas

• v = u + at, s = ut + ½at², v² = u² + 2as
• Range R = u² sin2θ / g, max height H = u² sin²θ / 2g
• Time of flight T = 2u sinθ / g
• River crossing: shortest time t = d / v_boat

Key ideas

• Slope of x–t graph is velocity; slope of v–t graph is acceleration; area under v–t is displacement
• Projectile: horizontal velocity constant, vertical acceleration g
• Relative velocity: v_AB = v_A − v_B
• Use calculus when acceleration is not constant

Traps to avoid

• Using constant-acceleration equations when a depends on t or v
• Sign errors with upward/downward g
• Mixing distance and displacement in graph questions

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