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Kinematics – Kinematic Equations

Kinematics – Kinematic Equations. http:// www.aplusphysics.com /courses/honors/kinematics/ honors_kinematics.html. Objectives and Learning Targets. Use kinematic equations to solve problems for objects moving at a constant acceleration in a straight line and in free fall.

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Kinematics – Kinematic Equations

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  1. Kinematics – Kinematic Equations http://www.aplusphysics.com/courses/honors/kinematics/honors_kinematics.html Unit #2 Kinematics

  2. Objectives and Learning Targets • Use kinematic equations to solve problems for objects moving at a constant acceleration in a straight line and in free fall. • Resolve a vector into perpendicular components: both graphically and algebraically. Unit #2 Kinematics

  3. Kinematic Equations • These equations can help you solve for key variables describing the motion of an object when you have a constant acceleration. Once you know the value of any three variables, you can use the kinematic equations to solve for the other two! Key Kinematics Variables Variable Meaning v0 Initial velocity v Final velocity Δx Displacement a Acceleration t Time elapsed Unit #2 Kinematics

  4. Problem Solving Strategy • In using these equations to solve motion problems, it’s important to take care in setting up your analysis before diving in to a solution. Key steps to solving kinematics problems include: 1. Labeling your analysis for horizontal (x-axis) or vertical (y-axis) motion. 2. Choosing and indicating a positive direction (typically the direction of initial motion). 3. Creating a motion analysis table (v0, v, Δx, a, t). Note that Δx is a change in position, or displacement, and can be re-written as x-x0. 4. Using what you know about the problem to fill in your “givens” in the table. 5. Once you know three items in the table, use kinematic equations to solve for any unknowns. 6. Verify that your solution makes sense. (Note: these equations work for vertical and horizontal motion) Unit #2 Kinematics

  5. Sample Problem #1 – Horizontal Motion Unit #2 Kinematics

  6. Sample Problem #1 – Horizontal Motion Unit #2 Kinematics

  7. Sample Problem #2 – Vertical Motion Unit #2 Kinematics

  8. Sample Problem #2 – Vertical Motion Unit #2 Kinematics

  9. Sample Problem #3 – 2 Stepper Unit #2 Kinematics

  10. Sample Problem #3 – 2 Stepper Unit #2 Kinematics

  11. Sample Problem #4 Question: An astronaut drops a hammer from 2.0 meters above the surface of the Moon. If the acceleration due to gravity on the Moon is 1.62 meters per second2, how long will it take for the hammer to fall to the Moon’s surface? Answer: Unit #2 Kinematics

  12. Create Your Own Problem • Create your own Horizontal Motion Kinematics Problem and solve it. Feel free to make it funny, but keep it clean. • Create a second problem making it vertical. Solve it also. • Trade with a neighbor and solve each other’s problems before turning them in. Unit #2 Kinematics

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