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Projectile Motion. Part 2. Let’s Review. A projectile is an object upon which only force acting is GRAVITY . Remember that the direction of gravity is always DOWNWARD . Types of projectiles: Objects that are dropped Objects that are launched horizontally
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Projectile Motion Part 2
Let’s Review A projectile is an object upon which only force acting is GRAVITY. Remember that the direction of gravity is always DOWNWARD. Types of projectiles: • Objects that are dropped • Objects that are launched horizontally • Objects that are launched upward at an angle
Characteristics • The path of a projectile is called a trajectory and is shaped like a parabola. • There are two components of motion, horizontal and vertical. • These components are independent of one another.
Horizontal Projectiles http://www.physicsclassroom.com/shwave/projectile.cfm • A horizontal projectile is launched with an angle of 0o to the horizontal. • What have we learned so far? The horizontal velocity is constant. The vertical velocity is changing.
Sum It Up None Gravity, 9.8 m/s2,down Constant Changing
Projectiles Launched at an Angle http://www.nsf.gov/news/special_reports/football/projectile.jsp • Once the projectile is launched, the only force acting is Gravity. • As with horizontally launched projectiles, the horizontal velocity is constant. • The vertical velocity is changing. As the projectile travels upward, the vertical velocity decreases. It reaches 0 m/s at the top of its flight. The vertical velocity increases as the object travels downward. • These velocity components can be represented with vectors.
Factors Affecting Projectile Motion How does the initial velocity affect the flight of a projectile? http://www.physicsclassroom.com/shwave/projectile.cfm
The greater the initial velocity, the greater the hang time, the longer the horizontal distance
How does the initial velocity effect the flight of a projectile? http://www.physicsclassroom.com/shwave/projectile.cfm
Initial Velocity Observations • What do you notice about the complimentary angles? They have the same horizontal distance. • Which angle produces the maximum range (horizontal distance)? 45 degrees • From your observations, which angle produces the maximum height? 70 degrees
Describing Motion with Numbers • What was the initial velocity in the upward direction? Let’s determine this velocity using vectors. To do this: • Add the vectors graphically. Label all information. • Draw the resultant. • Use the Pythagorean Theorem to determine the resultant. This is the INITIAL VELOCITY. To determine the angle, use TRIG functions 22.9 m/s 19.6 m/s 59° 12 m/s
Example 1 • A water balloon is launched with a velocity of 40 m/s at an angle of 60 degrees to the horizontal. • Draw a picture of the object. • Create a right triangle to the horizontal. • Label all known information. • Solve for the x component. cos ɵ = vx/vi • Solve for the y component. sin ɵ = vy/vi 40 m/s 60° cos 60 = vx/40 Vx = 20 m/s Sin 60 = vy/40 Vy = 34.6 m/s
Homework • Complete problems 1-4 • Read chapter 3 in your textbook