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KINEMATICS ALONG A CURVE

KINEMATICS ALONG A CURVE. Lesson 1: Projectile Motion. PROJECTILE. They are the bodies that are given with initial velocity and moves on the earth surface because of gravity. KINEMATICS ALONG A CURVE. Lesson 1: Projectile Motion. PROJECTILE MOTION.

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KINEMATICS ALONG A CURVE

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  1. KINEMATICS ALONG A CURVE

  2. Lesson 1: Projectile Motion PROJECTILE They are the bodies that are given with initial velocity and moves on the earth surface because of gravity. KINEMATICS ALONG A CURVE

  3. Lesson 1: Projectile Motion PROJECTILE MOTION It is a movement experience by a body at an angle equal to 900 and follows a curvilinear path. KINEMATICS ALONG A CURVE

  4. Lesson 1: Projectile Motion Common examples of Projectile are the following: 1. throwing a ball 2. catapult 3. playing volleyball KINEMATICS ALONG A CURVE

  5. Lesson 1: Projectile Motion TRAJEC TORY A trajectory is the path that a moving object, the projectile, follows through space as a function of time. KINEMATICS ALONG A CURVE

  6. Lesson 1: Projectile Motion In a laboratory experiment, a special device was used to project a ball in a horizontal direction at the same time releasing a second ball to fall freely for the same height. It was found that the balls reached the floor at the same time. This result suggeststhat the vertical motion of the projected ball is not affectedby its horizontal velocity. Therefore, projectile motion is a combination of vertical and horizontal motion that is completely independent of each other. KINEMATICS ALONG A CURVE

  7. Lesson 2: Elements of Projectile Motion KINEMATICS ALONG A CURVE

  8. Lesson 2: Elements of Projectile Motion From the figure from the previous slide, we can see the different elements of a projectile motion. When launching the projectile, it is given by an initial velocity at an initial angle. As it travels through the air, it displaces in two dimensions, along the horizontal and along the vertical. What goes up goes back to earth, hitting the earth or a target with final velocity. KINEMATICS ALONG A CURVE

  9. Lesson 2: Elements of Projectile Motion TIME OF FLIGHT It is the entire duration while the projectile is in its trajectory. KINEMATICS ALONG A CURVE

  10. Lesson 2: Elements of Projectile Motion RANGE It is the maximum horizontal displacement traveled by a projectile. KINEMATICS ALONG A CURVE

  11. Lesson 2: Elements of Projectile Motion MAXIMUM HEIGHT It is the maximum vertical displacement traveled by the projectile in its trajectory. KINEMATICS ALONG A CURVE

  12. Lesson 3: Condition of Projectile Motion Throughout the flight: • 1. We will neglect the effect of air resistance on the body. • 2. We can separate the displacement and velocity to its x and y components. KINEMATICS ALONG A CURVE

  13. Lesson 3: Condition of Projectile Motion Along the horizontal: • 1. The x-component of the velocity is always constant throughout the range. • 2. The horizontal displacement x follows a linear motion. KINEMATICS ALONG A CURVE

  14. Lesson 3: Condition of Projectile Motion Along the vertical: • 1. The y-component behaves as free-fall and thus, only affected by the acceleration due to gravity, g. • 2. Throughout the topic, we will use +g when the motion is downward and –g when the motion is upward. • 3. Before reaching the maximum height, g acts against the velocity, slowing it down until it reaches zero. • 4. After reaching the maximum height, g is in the same direction as the velocity, speeding it up. KINEMATICS ALONG A CURVE

  15. Lesson 3: Condition of Projectile Motion When the vertical displacement is at its maximum: • 1. The x-component of the velocity is always constant. • 2. The y-component of thevelocity is zero. KINEMATICS ALONG A CURVE

  16. Tyrone Jasper C. Piad III-Oxygen SUBMITTED BY:

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