1 / 20

Chapter 2

Chapter 2. Uniformly Accelerated Motion. Speed. Velocity. Acceleration. What are the units for acceleration?. Uniformly Accelerated Motion Along a Straight Line. In this case… acceleration is a constant

oliver-russell
Download Presentation

Chapter 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 2 Uniformly Accelerated Motion

  2. Speed

  3. Velocity

  4. Acceleration What are the units for acceleration?

  5. Uniformly Accelerated Motion Along a Straight Line • In this case… • acceleration is a constant • and the acceleration vector lies in the line of the displacement vector.

  6. The 5 Equations! (1) (2) (3) (4) (5)

  7. Problem Solution Guidelines • Draw a sketch • Indicate origin and positive direction • List the given quantities using the symbols of the equations. (si, vi, a) • Is time known or do we need to find it? • What are we to solve for? • Write the general equations of kinematics

  8. More Guidelines • Rewrite the general equations using the known quantities. • Look at the knowns and unknowns and map a strategy of solution. • Check your units • Make sure you are answering the question.

  9. Problem Solution Time • Fifteen minutes

  10. Definitions • Instantaneous Velocity • the slope of the displacement versus time graph • Instantaneous Acceleration • the slope of the velocity versus time graph

  11. A B Slopes Displacement Time

  12. Teaming Exercise Next Problem solutions

  13. Free Fall • The force of gravity points downward • Acceleration of gravity near the surface of Earth is called g = 9.8 m/s2 = 32.1 ft/s2 • Air resistance ignored • We have then the conditions of one-dimensional kinematics – straight line motion with constant acceleration.

  14. Sample Problem • A ball is thrown vertically upward at 10 m/s. How high will it get, how long will it be in the air, and how fast will it be moving when it hits the ground.

  15. Projectile Problems – Two Dimensional Kinematics • Ignore air resistance. • ax = 0 • ay = g = 9.81 m/s2 downward

  16. The motions in the two directions are independent Horizontal Vertical

  17. Real Motion is the Combination of the Two

  18. 2-D Problem Guidelines • Set up two 1-D solutions Origin x Origin y Positive x Positive y xi = yi = vxi = vyi = ax = 0 ay = g

  19. 2-D Guidelines Cont’d • Write general kinematic equations for each direction • Rewrite them for the problem at hand • Find the condition that couples the motions (usually time)

  20. Uniformly Accelerated Motion Along a Straight Line

More Related