UNIFORMLY ACCELERATED MOTION 1.pptx

power point presentation of uniformly accelerated motion with assessment and activities including activity sheets.

1. Physics The study of motion, matter, energy, and force.

2. Forces and Motion

3. OBJECTIVE Describe the horizontal and vertical motions of a projectile

4. Uniformly Accelerated Motion

5. Uniform Acceleration A body maintains a constant change in its velocity in each time interval along a straight line

6. Horizontal (rectilinear) Motion Example: track and field runner If the runner’s positions are taken at equal time intervals and the change in position for each time interval is increasing, then, the runner is moving faster and faster

7. Vertical (free fall) Motion Example: ball thrown upward As the ball goes up, it decelerates until it stops momentarily and changes direction. That means, it reaches its maximum height before it starts to fall back to the point where it was thrown, and its speed will be equal to the speed at which it was thrown.

8. Note that the magnitudes of the two velocities are equal, but they have opposite directions – velocity is upward when it was thrown, but downward when it returns. Acceleration Upward – Downward – ( )  

9. The equations for Uniformly Accelerated Motion (UAM) are: where: 𝑣𝑓 = final velocity/speed (m/s) 𝑡 = time (s) 𝑑 = distance/displacement (m) 𝑣̅= average speed/velocity (m/s) 𝑣𝑖 = initial velocity/speed (m/s) 𝑎 = constant acceleration ( )   v𝑓 = 𝑣𝑖 + 𝑎𝑡 𝑑 = 𝑣𝑖 𝑡 + ½ = + 2𝑎𝑑 𝑑 = 𝑡 or 𝑑 = 𝑣̅𝑡  

10. 2. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

11. 4. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

12. 7. A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.

13. 9. A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration).

14. It was once recorded that a jaguar left a skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 . Determine the speed of the Jaguar before it began to skid.  

15. Motion in Two Dimensions

16. Projectile motion a combination of uniform motion along the horizontal and the motion of a freely falling body along the vertical.

17. Projectile motion is a form of motion where an object given an initial velocity is thrown or projected and is allowed to be acted on by gravity in a curved-like path.

18. Projectile the moving body Trajectory the curved path it travels Range horizontal distance it covers

19. Type 1: Horizontally Launched Projectiles

20. Type 2: Angle-Launched Projectiles

21. Activity1.1: Sketch Me Quick Situation1: Free Kick! Sam was given a free kick. Illustrate the trajectory of the ball in order for Sam to get a goal. On your answer sheet, explain how you came up with that trajectory.

22. Situation 2: Throwing of Garbage Mat wants to shoot a crumpled paper inside the trash bin. Help him shoot his garbage right at the trash can by illustrating the trajectory. Explain below how you ended up with that trajectory.

23. Below is a list of sports/games. Classify the sports/games whether they exhibit projectile motion or not. Complete the table on your answer sheet.

24. A VOLLEYBALL BEING SERVED A MOTORBIKE TAKING OFF ON RAMP A FLIGHT OF A SOCCER BALL SMASHING OF A SHUTTLE COCK CAR RACING 100m DASH A BASEBALL HIT BY A BAT DRAGONBOAT PADDLING RACE SLICE SERVING OF THE PINGPONG SHORT COURSE SWIMMING

25. Projectile Motion Non-projectile Motion

26. The Horizontal and Vertical Motion of a Projectile

27. horizontal velocity responsible for the projectile to travel at a horizontal distance   vertical velocity responsible for the projectile to travel at a verticle distance   Height – vertical distance from the projectile to the earth’s surface Range – horizontal distance covered by the projectile                 D Range (x) height (y) B   A C Type I: Horizontally Launched Projectiles

28. The vertical velocity of the marble is gradually increasing from points A to D (as illustrated by the increasing downward arrows). Due to the presence of gravity accelerating at the marble -9.8 m/s2 this causes the vertical velocity (𝑣𝑦) to increase. There is a constant horizontal velocity (𝑣𝑥) as illustrated by a consistent set of horizontal rays to the right for each of the location of the marble in the strobe.

29. Type II: Angle-Launched Projectiles Angle ɵ - a numerical value in degrees ֯ expressing the orientation of a projectile to be projected vertical velocity responsible for the projectile to travel at a verticle distance   horizontal velocity responsible for the projectile to travel at a horizontal distance   Maximum height the maximum vertical distance a projectile can reach the ground   Range – horizontal distance covered by the projectile                             ɵ + x axis + y axis

30. Type II: Angle-Launched Projectiles horizontal velocity (𝑣𝑥) is still constant vertical velocity as the projectile ascends (point A to B) the upward vertical velocity (𝑣𝑦) is decreasing As the projectile reaches the maximum height (point B) it momentarily stops causing a vertical velocity equal to zero (𝑣𝑦 = 0). When the projectile descends (point B to C) the direction of its motion is in the direction of the gravitational force hence the magnitude of its vertical velocity is increasing .

31. Conceptual Characteristics of Free Fall Motion An object in free-fall experiences an acceleration of -9.8m/s 2 . (The negative sign indicates a downward acceleration) Whether explicitly stated or not, the value of the acceleration in the kinematic equations is -9.8 m/s 2 for any freely falling object. If an object is merely dropped (as opposed to being thrown) from an elevated height, then the initial velocity of the object is 0 m/s

32. If an object is projected upwards in a perfectly vertical direction, then it will slow down as it rises upward. The instant at which it reaches the peak of its trajectory, its velocity is 0 m/s. This value can be used as one of the motion parameters in the kinematic equations; If an object is projected upwards in a perfectly vertical direction, then the velocity at which it is projected is equal in magnitude and opposite in sign to the velocity that it has when it returns to the same height

33. Modified true or false! Write TRUE in the space provided if the following statements are correct and if false, change the underlined word or phrase to make the statement/s correct As the projectile reaches its highest peak, the vertical velocity continuously increases. When an object is horizontally launched its motion gradually increases .

34. 3. In an angle-launched projectile the vertical velocity remains constant. 4. As the projectile reaches the maximum height its vertical velocity becomes zero . 5. The horizontal acceleration (ax) of a projectile is equal to 9.8m/s2

35. 6. The horizontal velocity in horizontally launched projectile is constant . 7. In angle-launched projectile, as the projectile rises its vertical velocity decreases.

36. 8. The acceleration due to gravity is equal to zero . 9. As a projectile approach to the ground its vertical velocity decreases. 10. There is external force acting on the horizontal motion of a projectile

37. Complete the Diagram From the set of quantities involved in projectile motion ( height, range, vertical velocity, horizontal velocity, angle ), complete the diagram showing the two types of projectile launched by writing on the numbers the correct quantity.

38. True or False: Write TRUE in the space provided if the statement is correct and write FALSE if the statement is incorrect.

39. The horizontal velocity (𝑣𝑥) in horizontally launched projectiles is always constant. In angle-launched projectile, the vertical velocity (𝑣𝑦) decreases as the projectile rises.

40. 3. In angle-launched projectile, the projectile’s vertical velocity becomes zero at its maximum height. 4. The vertical velocity (𝑣𝑦) of a projectile that descends, decreases in angle-launched projectiles.