1 / 9

AP Unit I A 2

AP Unit I A 2. Motion in two dimensions. Objectives. I A 2. a) Students should know how to deal with displacement and velocity vectors so they can: (1) Relate velocity, displacement, and time for motion with constant velocity.

trish
Download Presentation

AP Unit I A 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. AP Unit I A 2 Motion in two dimensions

  2. Objectives • I A 2. • a) Students should know how to deal with displacement and velocity vectors so they can: • (1) Relate velocity, displacement, and time for motion with constant velocity. • (2) Calculate the component of a vector along a specified axis, or resolve a vector into components along two specified mutually perpendicular axes. • (3) Add vectors in order to find the net displacement of a particle that undergoes successive straight-line displacements. • (4) Subtract displacement vectors in order to find the location of one particle relative to another, or calculate the average velocity of a particle . • (5) Add or subtract velocity vectors in order to calculate the velocity change or average acceleration of a particle, or the velocity of one particle relative to another

  3. c) Students should understand the motion of projectiles in a uniform gravitational field so they can: • (1) Write down expressions for the horizontal and vertical components of velocity and position as a function of time, and sketch or identify graphs of these components. • (2) Use these expressions in analyzing the motion of a projectile that is projected above level ground with a specified initial velocity

  4. Graphical vectors • By scale drawing: A + B = R(Bold represents a vector) Vector B or V2 4 m/s E Vector A or V1 3 m/s N R or VR Resultant vector

  5. Components of a vector • A vector A at an angle θ to the horizontal can be expressed as the sum of two vectors, Ax, parallel to the x axis (horizontal component), and Ayparallel to the y axis (vertical component). • Hence the magnitude (unbolded) of the components of A are • Ax = A cos θ Ay = A sin θ • θ = tan -1 (Ay/ Ax) A Ay θ Ax

  6. Adding Vectors • 1. Calculate the following resultant velocity vector: • A plane traveling at 40 m/s north is blown by a wind of 20 m/s from the south west, calculate the resultant velocity R of the plane. B = 20 m/s θ = 45° A = 40 m/s N R

  7. Subtracting Vectors • Two boats both traveling at 45 m/s leave the pier at the same time. Boat A travels north, boat B travels north east. Calculate the velocity of boat B relative to A. R R = A - B -B A A B R

  8. Projectile motion • Rocket projected with initial velocity of 340 m/s at an angle of 30° to the ground. • Calculate time of flight, range, and maximum height reached. v0 Indicate horizontal and vertical components of velocity on each quarter of the trajectory. Where is the acceleration? θ =30°

  9. Calculations • 1. Read Chapter 3 • 2. Answer Multi Choice 1-5 • 3. Answer conceptual questions 1-5 • 4. Answer problems Chapter 3 1,7,16,24,31,41,51,61.

More Related