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Projectile Motion and Vector Operations

Learn about the principles of projectile motion, including the constant horizontal velocity and changing vertical velocity. Understand vector operations such as addition and scalar multiplication. Review exercises and prepare for the upcoming test.

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Projectile Motion and Vector Operations

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  1. Physics 1 – Oct 8, 2019 • P3 Challenge – T/F If false, correct the statement. • The vertical component of a projectile's velocity is constant. • The horizontal velocity of a projectile changes by 9.8 m/s each second. • The vertical component of a projectile's velocity is changing at a constant rate. • The horizontal velocity of a projectile is 0 m/s at the peak of its trajectory. • The magnitude of the vertical velocity of a projectile decreases by 9.8 m/s each second.

  2. Objectives, Agenda, Assignment • IB 1.3 and 2.1 • Review • Agenda • Omelet Review • Objectives, Vocab, Memory items, Skills • Work on Review Exercises. Check Answers. Help is online. • Assignment: • U2 Test Thursday Oct 10

  3. IB 1.3Objectives – Vectors • Distinguish between vector and scalar quantities. • Resolve a vector into its components. • Reconstruct a vector from its components. • Carry out operations with vectors. • Adding graphically (2 ways) and analytically • Scalar multiplication

  4. IB 2.1 Objectives – Motion (2 Dimensional) • Position, Displacement and Distance • Average speed, average velocity • Instantaneous velocity and acceleration • Constant acceleration problems • Freefall • General motion in 2D • Projectile motion (generally and horizontal launch cases) • Range Equation • Motion on an Incline (parallel and perpendicular components)

  5. Vocabulary • Velocity • Scalar • Magnitude and direction • NSEW directions • Standard position • Resultant • Parallelogram method • Triangle method • Adding analytically • Components • Position • Displacement • Distance • Speed • Vector • Velocity • Acceleration • g , gravity • Projectile motion • Trajectory • Parabolic motion • Horizontal launch • Range • Parallel component • Perpendicular component

  6. Memory Items • g = -9.81 m/s2 • Variables for projectile motion, and their units • Equations available for x and y dimensions • Vector relationships among 2D motion variables • Special values for special cases of projectile motion • Range equation and maximum range angle • Component formulas for standard position and for on an incline • How to find the second angle answer when doing a tan-1 or sin-1

  7. Skills – 1.3 Vectors • Find the scalar multiple of a vector • Find the opposite of a vector • Find the components of a vector given magnitude and direction • Find the magnitude and direction given the components • Add vectors graphically with the parallelogram method and the triangle method • Add vectors analytically

  8. Skills – 2.1 Motion (2 dimension) • Distinguish between position, displacement and distance • Distinguish between speed and velocity • Calculate average velocity • Determine the direction of acceleration • Solve constant acceleration problems • Solve freefall motion problems • Solve projectile motion problems (both horizontal launch and general launch at an angle) • Solve Range problems

  9. Test Description

  10. Exit Slip - Assignment • Exit Slip – If A = 25 N at 40and B = 50 N at 120 Find 3A – 2B. • What’s Due? (Pending assignments to complete.) • Study for U2 test • What’s Next? (How to prepare for the next day) • U2 Test Oct 10

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