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AP Course

AP Physics 1

Updated for the AP Physics 1 framework effective fall 2024, including mechanics, rotation, oscillations, and fluids.

Study every current unit through original concept lessons, formula derivations, experiments, quizzes, and practice sets.

Lessons
Scalars and Vectors in One DimensionDisplacement, Velocity, and AccelerationRepresenting MotionReference Frames and Relative MotionVectors and Motion in Two DimensionsSystems and Center of MassForces and Free-Body DiagramsNewton's Third LawNewton's First LawNewton's Second LawGravitational ForceKinetic and Static FrictionSpring ForcesCircular MotionTranslational Kinetic EnergyWorkPotential EnergyConservation of EnergyPowerLinear MomentumChange in Momentum and ImpulseConservation of Linear MomentumElastic and Inelastic CollisionsRotational KinematicsConnecting Linear and Rotational MotionTorqueRotational InertiaRotational Equilibrium and Newton’s First Law in Rotational FormNewton’s Second Law in Rotational FormRotational Kinetic EnergyTorque and WorkAngular Momentum and Angular ImpulseConservation of Angular MomentumRollingMotion of Orbiting SatellitesDefining Simple Harmonic Motion (SHM)Frequency and Period of SHMRepresenting and Analyzing SHMEnergy of Simple Harmonic OscillatorsInternal Structure and DensityPressureFluids and Newton’s LawsFluids and Conservation Laws
Quizzes
Practice Problems Formula notes, diagrams, and practice sets will be added here.

AP Physics 1 · Unit 1 · Topic 1.2

Displacement, Velocity, and Acceleration

Multiple representations of position, velocity, and acceleration describe motion relative to a chosen frame.

1. Topic Lens

Displacement, Velocity, and Acceleration is studied through kinematics. Connect the system boundary, interacting parts, and measurable evidence before applying a formula.

\[v=\frac{\Delta x}{\Delta t}\]

2. Why the Formula Works

The relationship is built from definitions and conservation reasoning:

  1. For constant acceleration, velocity changes linearly: v=v₀+at.
  2. Average velocity over the interval is (v₀+v)/2.
  3. Multiplying average velocity by time and substituting v gives the displacement equation.
\[\Delta x=v_0t+\frac12at^2\]

3. Detailed Visual Model

Pixel diagram for Displacement, Velocity, and AccelerationOriginal schematic connecting Displacement, Velocity, and Acceleration to Kinematics.
Displacement, Velocity, and Acceleration: an original pixel-style model. Use it as a schematic, not a literal scale drawing.

4. Worked Example and Lab Link

An object starts from rest with constant acceleration 2 m/s² for 3 s. How far does it move?

Answer: Δx=½(2)(3²)=9 m.

Investigation idea: Record video of a cart, make position-time and velocity-time graphs, and compare slopes and areas.

Common trap: A negative velocity is direction, not necessarily slowing down; define the positive axis first.

Checkpoint · Topic 1.2

Explain how displacement, velocity, and acceleration supports or limits this conclusion: Δx=½(2)(3²)=9 m.

Official curriculum reference: College Board AP Physics 1 course page. The explanation and worked example are independently written for this study site.