PPT-Parametric Equations and Projectile Motion

Honors Trigonometry Chapter 8 Section 6 What is projectile motion What variables can you control What sports use projectile motion Ovida Fentz hits a baseball so that it travels at a speed of 120 feet per second and at an angle of 30 degrees to the horizontal Assume his bat contacts the ball at a height of 3 ft above the ground. A projectile is an object upon which the only force acting is gravity. .. An . object dropped from rest is a projectile (provided that the influence of air resistance is negligible). .  . An object that is thrown vertically upward is also a projectile (provided that the influence of air resistance is negligible). . Section 10.4b. A baseball is hit when it is 3 . ft. above the ground. It leaves the bat. with initial speed of 152 . ft. /sec, making an angle of with the. horizontal. At the instant the ball is hit, an instantaneous gust of. What is Projectile motion?. . Projectile. . motion refers to the motion of an object projected into . the . air at an angle. .. A . projectile . has a single force that acts upon it - the force of . 2D Motion. Moving Motion Forward. Velocity, Displacement and Acceleration are VECTORS. Vectors have magnitude AND direction. So far, direction has been positive and negative. Motion with Vectors. Motion concepts combine with Vector concepts to allow us to represent motion in multiple directions simultaneously. Derivation of the Projectile Equations Vx 0 -gt 0 h=v2 2= V02+ 2ax0 = V02+ 2ax0 = V02+ 2ah-V2= h 2a02= h 2gh=v2 T=2V v = v0t = v/at = 2v/gT = 2V0 R=V2 V0R=V2 x = (V0x = vtV=VX = (V0 )t Unit 3. What are . parametrics. ?. Normally we define functions in terms of . one . variable. – . for example, . y . as a function of x. . . Suppose in a graph, each (x, y) depended on a . third variable . Tennis ball. Golf ball. Football. Softball. Soccer ball. Bullet. Hockey puck. Basketball. Volleyball. Arrow. Shot put. Javelin. These are all examples of things that are . projected. , then go off under the . Nature of science: . Observations: The ideas of motion are fundamental to many areas of physics, providing a link to the consideration of forces and their implication. The kinematic equations for uniform acceleration were developed through careful observations of the natural world.. What is a projectile?. A body in free fall that is subject only to the forces of gravity and air resistance. Motion of bodies flung into the air. Occurs in many activities, such as baseball, diving, figure skating, basketball, golf, and volleyball. MAT 493. Definition. Projectile Motion is defined as the motion of an object near the earth’s surface. . ‘Near’ .  Gravity extremely influential to the trajectory of an object. history. Aristotle – projectiles pushed along by some external force that was transmitted through the air called “impetus”. Introduction to Engineering Design. Parameters. 3D CAD programs use . parameters. to define a model of a design . solution. A parameter is . a property of a system whose value determines how the . system will . 7-2 Projectile Motion Independence of Motion in 2-D Projectile is an object that has been given an intial thrust (ignore air resistance) Football, Bullet, Baseball Moves through the air under the force of gravity Problems will be solvable using the equations of uniform acceleration. . .  . Projectile motion. This section is devoted to understanding the motion of projectiles. A projectile is an object upon which the only force acting is gravity. Motion in Two Dimensions. Using + or – signs is not always sufficient to fully describe motion in more than one dimension. Vectors can be used to more fully describe motion. Still interested in displacement, velocity, and acceleration.