Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
2. 1D Motion / Kinematics
Graphing Position, Velocity, and Acceleration Graphs
2. 1D Motion / Kinematics
Graphing Position, Velocity, and Acceleration Graphs: Study with Video Lessons, Practice Problems & Examples
7PRACTICE PROBLEM
The position-time graph of a moving vehicle is shown below. What will the velocity-time graph of the vehicle look like for the given interval?
![Position-time graph of a vehicle showing constant position and a drop in position.](data:image/png;base64,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)
The position-time graph of a moving vehicle is shown below. What will the velocity-time graph of the vehicle look like for the given interval?