Projectil motion
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This document outlines the topics, objectives, materials, and methods for a 2-hour physics course on projectile motion. The course will analyze two-dimensional particle motion, including linear, parabolic, and circular trajectories using vector analysis. Students will learn about constant velocity and acceleration motion, and apply these concepts to solve problems involving range, maximum height, and time of flight for horizontally-launched projectiles. Sample problems will be worked through, such as calculating the time, height, and range for a bullet shot at an angle. Students will complete exercises to practice applying these concepts.
Projectil motion
- 1. PROJECTILE MOTION COURSE : PHYSICS TOPIC : TWO-DIMENSIONAL MOTION GRADE / SEM : XI / 1 ALLOCATED TIME : 2 HOURS SMA NEGERI 1 JEPARA
- 2. STANDARD COMPETENCY Analyze nature phenomenon and it’s regularity in coverage of particle’s.
- 3. BASE COMPETENCY Analyze linier motion (2 Dimensional motion), Circular motion, and Parabolic motion using vector
- 4. INDICATOR Analyze fundamental quantities in linier motion using vector. Apply vector’s analysis to solve Two Dimensional Motion’s problem (including parabolic motion). Analyze the relationship of the quantities in Two Dimensional Motion. Analyze fundamental quantities in circular motion using vector. Apply vector’s analysis to solve Circular Motion’s Problem.
- 5. LEARNING MATERIAL Constant velocity motion Constant acceleration motion Two-Dimensional linier motion Parabolic Motion Circular Motion
- 6. LEARNING METHODE Discussion Experiment Class/Lecture
- 7. Material Simulations Applications 1 Applications 2 Applications 3 Applications 4 Applications 5 Applications 6
- 8. CONCLUSSION 1. Projectile motion is motion with a constant horizontal velocity combined with a constant vertical acceleration 2. The projectile moves along a parabola 3. Trajectory parabola, open down a. Total time 44. t 2 v i sin g v i sin 2 2 b. Horizontal range X g v i sin 2 c. Max height h max 2 g
- 9. 4. Trajectory Half-Parabola, open down a. Total time 44. x v i b. Horizontal range c. Final velocity 2h g vf vf 2 v i 2 gh 2 v i 2 gh
- 10. SAMPLE PROBLEM 1. A bullet is shot at initial of velocity 40 m/s, and 0 elevation angle of 60 from a flat ground, ait friction neglected and gravitasional acceleration g = 10 m/ 2 . Determined: s a. The time needed by the bullet to reach the highest point H? b. The maximum height reached by the bullet? c. The greatest distance reached by the bullet? Solution v 0 = 40 m/s α = 60 0 g = 10m/s 2
- 11. a. tH v 0 sin 40 sin 60 g 40 . 0 1 3 2 10 10 2 3s thus, the time to reach the highest point H is 2 3 sec onds . b. The maximum height reached by the bullet v 0 sin 2 yH 2 2 40 sin 2g 2 60 1600 . 0 4 60 m . 2 . 10 3 20 c. The greatest distance reached by the bullet v 0 sin 2 2 x g 2 40 sin 2 . 60 10 1600 . 0 1 2 10 3 40 3 m .
- 12. EXERCISE 1. An object is thrown at initial of velocity of 20 m/s from 0 30 point A to the ground with elevation angle if gravitational acceleration g = 10 m / s 2 and air friction neglected,determined: a. the initial velocity component in horizontal and vertical direction. b. the object velocity after 0,5 s. c. the object position after 0,5 s. 2. An object is thrown from the top of a building of which the height is 40 m. The initial velocity of the object is 0 20 m/s and the elevation angle is . 30 Determined the greatest distance in horizontal direction counted from the base of building?.
- 13. 3. A bullet is shot from a horizontal ground at an elevation angle of 60 0. After 50 seconds, it falls to the ground 4000 m away from where it was 2 thrown. Given g=10 m/ s , calculate the initial velocity of the bullet?. 4. A soccer ball is kicked at an initial velocity of 25 m/s and form an angle of 45 degrees against horizontal direction. Determined the time the ball flies, the horizontal distance, and the highest point reached by the ball? 5. Someone wants o shoot a bird on a tree which is 100 m away from the shooter. The bird is 80 m high from the ground. If the shooter directs his gun 0 to form an angle of to the horizontal direction, 45 then the initial velocity of the bullet to hit the bird is?.
- 14. THANKS FOR ATTENTION AND……… SEE YOU NEXT TIME