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Understanding 2D Kinematics: Vectors, Displacement, and Projectile Motion in Physics

This course material on 2D kinematics delves into key concepts such as vectors, displacement, velocity, and acceleration in two dimensions. It covers both geometric representations and analytical approaches, utilizing Cartesian coordinates for 3D analysis. Practical examples, including projectile motion and real-world scenarios such as shooting a tranquilizer dart at a monkey, illustrate the application of theoretical principles. Key topics include vector addition/multiplication, the significance of displacement vectors, and the impact of scalar quantities on motion.

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Understanding 2D Kinematics: Vectors, Displacement, and Projectile Motion in Physics

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  1. PHY221 Ch2: 2D Kinematics • 2D and displacement vector • position, • displacement (geometrically and components) • Addition and multiplcation • Derived vectors: velocity and acceleration • Examples:projectile motion, monkey etc…

  2. PHY221 Ch2: 2D Kinematics Main Points Vectors: Components Coordinates of P in 3D Cartesian Coordinates Components of displacement from O to P in 3D in Cartesian Coordinates

  3. PHY221 Ch2: 2D Kinematics Main Points Vectors: Components and magnitude. Components of displacement vector All the vectors we will be dealing with, are built from the displacement vector using the laws of vector addition and multiplication defined on the next slide. The magnitude of the displacement is defined by:

  4. PHY221 Ch2: 2D Kinematics Main Points Vectors: Addition Graphically

  5. PHY221 Ch2: 2D Kinematics Main Points Vectors: Multiplication by a number (scalar) in 2D Graphically

  6. PHY221 Ch2: 2D Kinematics Main Points Application: Vector displacement in 2D Application: Vector velocity from displacement Application: Vector acceleration from vector Vel.

  7. PHY221 Ch2: 2D Kinematics Main Points Projectile Motion in 2 D: General equations

  8. PHY221 Ch2: 2D Kinematics Main Points Projectile Motion in 2 D: Problem example-Range

  9. PHY221 Ch2: 2D Kinematics You are a vet trying to shoot a tranquilizer dart into a monkey hanging from a branch in a distant tree. You know that the monkey is very nervous, and will let go of the branch and start to fall as soon as your gun goes off. In order to hit the monkey with the dart, where should you point the gun before shooting? A)Right at the monkey B)Below the monkey C)Above the monkey

  10. PHY221 Ch2: 2D Kinematics A flatbed railroad car is moving along a track at constant velocity. A passenger at the center of the car throws a ball straight up. Neglecting air resistance, where will the ball land? A) Forward of the center of the car B) At the center of the car C) Backward of the center of the car vtrain car

  11. Ch 2: Assignments

  12. Ch 2: Assignments

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