Quantum Tunneling
  • Home
  • Physics 12, SPH4U
    • Module 1: Dynamics >
      • Lesson 1: Motion and Motion Graphs
      • Lesson 2: Equations of Motion
      • Lesson 3: Displacement in Two Dimensions
      • Lesson 4: Velocity and Acceleration in Two Dimensions
      • Lesson 5: Projectile Motion
      • Lesson 6: Relative Motion
      • Lesson 7: Forces and Free Body Diagrams
      • Lesson 8: Newton's Laws of Motion
      • Lesson 9: Applying Newton's Laws of Motion
      • Lesson 10: Forces of Friction
      • Lesson 11: Inertial and Non Inertial Frames of Reference
      • Lesson 12: Centripetal Acceleration
      • Lesson 13: Centripetal Force
      • Module 1 Assessment
    • Module 2: E and P >
      • Lesson 1: Work Done by a Constant Force
      • Lesson 2: Kinetic Energy and Work Energy Theorem
      • Lesson 3: Gravitational Potential Energy
      • Lesson 4: The Law of Conservation of Energy
      • Lesson 5: Elastic Potential Energy and SHM
      • Lesson 6: Springs and Conservation of Energy
      • Lesson 7: Momentum and Impulse
      • Lesson 8: Conservation of Momentum in One Dimension
      • Lesson 9: Collisions
      • Lesson 10: Head-on Elastic Collisions
      • Module 2 Assessment
    • Module 3: Fields >
      • Lesson 1: Newtonian Gravitation
      • Lesson 2: Orbits
      • Lesson 3: Electric Force
      • Lesson 4: Electric Fields
      • Lesson 5: The Milikan Oil Drop Experiment
      • Lesson 6: Magnets
      • Lesson 7: Magnetic Force on Moving Charges
      • Lesson 8: Motion of Charged Particles in Magnetic Fields
      • Module 3 Assessment
    • Module 4: Light >
      • Lesson 1: Properties of Waves and Light
      • Lesson 2: Refraction and Total Internal Reflection
      • Lesson 3: Diffraction and Interference of Water Waves
      • Lesson 4: Interference of Light Waves
      • Lesson 5: Electromagnetic Radiation
      • Module 4 Assessment
    • Module 5: Revolution >
      • Lesson 1: The Special Theory of Relativity
      • Lesson 2: Time Dilation
      • Lesson 3: Consequences of Special Relativity
      • Lesson 4: Quantum Theory
      • Lesson 5: Photons
      • Lesson 6: Matter Waves
      • Module 5 Assessment

Lesson 2: Equations of Motion

Overview:

In the last lesson we looked at how to solve motion problems by graphical analysis, in this lesson we will derive the equations of motion and apply them to solve problems related to motion. We will restrict to problems in one dimension. Then we will see how to modify the equations of motion for freely falling objects and solve related problems.

Curriculum Expectations:

Specific Expectations:
B2.1 Use appropriate terminology related to dynamics, including, but not limited to: inertial and non-inertial frames of reference, components,  centripetal, period, frequency, static friction, and kinetic friction.

B2.2 Solve problems related to motion, including projectile and relative motion, by adding and subtracting two-dimensional vector quantities, using vector diagrams, vector components, and algebraic methods.

Success Criteria:

  1. Do the equations of motion apply if acceleration is not constant?
  2. Make a table of the 5 equations of motions, with their corresponding known and unknowns. 
  3. Describe free fall.
  4. What is the approximation for the acceleration due to gravity on Earth?

Time Allocation: 2 hours


Learning Activities:

Read pages 17 - 20 from Nelson 1.2


A green ball is thrown upward. We show its position vector, position vs time graph, velocity vector, velocity vs time graph, acceleration vector, acceleration vs time graph and energies (total mechanical, potential and kinetic) vs time graph.

In the playlist below, video:
  1. Will show you how to calculate the final distances of a car traveling at various accelerations.
  2. Will explain the conceptual approach of an object in free-fall.
  3. Will show you how to calculate the final velocity of an object in free-fall.
  4. Will show you how to calculate the maximum height of an object thrown upward.

Practice questions 1 and 4 on page 19.
Practice questions 1 and 3 on page 20.

Task:

Solve questions 1, 2, 5, 6, and 7 from Nelson 1.2 Review on page 21.

Optional Extension: 
  • Practice questions 5 and 6 on page 19.
  • Solve question 3 on page 21.

Reflect:

When a driver is forced to make a panic stop by pressing down on the brake as hard as possible, the car will undergo a large acceleration to stop. Think of different reaction times, and the implications, to the driver using cellphones while driving to come to a complete stop.

Additional Resources:


Lesson 1
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  • Home
  • Physics 12, SPH4U
    • Module 1: Dynamics >
      • Lesson 1: Motion and Motion Graphs
      • Lesson 2: Equations of Motion
      • Lesson 3: Displacement in Two Dimensions
      • Lesson 4: Velocity and Acceleration in Two Dimensions
      • Lesson 5: Projectile Motion
      • Lesson 6: Relative Motion
      • Lesson 7: Forces and Free Body Diagrams
      • Lesson 8: Newton's Laws of Motion
      • Lesson 9: Applying Newton's Laws of Motion
      • Lesson 10: Forces of Friction
      • Lesson 11: Inertial and Non Inertial Frames of Reference
      • Lesson 12: Centripetal Acceleration
      • Lesson 13: Centripetal Force
      • Module 1 Assessment
    • Module 2: E and P >
      • Lesson 1: Work Done by a Constant Force
      • Lesson 2: Kinetic Energy and Work Energy Theorem
      • Lesson 3: Gravitational Potential Energy
      • Lesson 4: The Law of Conservation of Energy
      • Lesson 5: Elastic Potential Energy and SHM
      • Lesson 6: Springs and Conservation of Energy
      • Lesson 7: Momentum and Impulse
      • Lesson 8: Conservation of Momentum in One Dimension
      • Lesson 9: Collisions
      • Lesson 10: Head-on Elastic Collisions
      • Module 2 Assessment
    • Module 3: Fields >
      • Lesson 1: Newtonian Gravitation
      • Lesson 2: Orbits
      • Lesson 3: Electric Force
      • Lesson 4: Electric Fields
      • Lesson 5: The Milikan Oil Drop Experiment
      • Lesson 6: Magnets
      • Lesson 7: Magnetic Force on Moving Charges
      • Lesson 8: Motion of Charged Particles in Magnetic Fields
      • Module 3 Assessment
    • Module 4: Light >
      • Lesson 1: Properties of Waves and Light
      • Lesson 2: Refraction and Total Internal Reflection
      • Lesson 3: Diffraction and Interference of Water Waves
      • Lesson 4: Interference of Light Waves
      • Lesson 5: Electromagnetic Radiation
      • Module 4 Assessment
    • Module 5: Revolution >
      • Lesson 1: The Special Theory of Relativity
      • Lesson 2: Time Dilation
      • Lesson 3: Consequences of Special Relativity
      • Lesson 4: Quantum Theory
      • Lesson 5: Photons
      • Lesson 6: Matter Waves
      • Module 5 Assessment