Projectiles with Calculus

Aug 15, 2024

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Explore projectile motion in 2D using unit vector notation. Learn how calculus can help predict the path of projectiles accurately. Understand the principles that govern motion in two dimensions.

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Projectiles with Calculus

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Projectiles with Calculus
Projectile Trajectory
Unit Vector Notation
Motion in 2D • The same rules apply to any motion in two dimensions

Projectiles

Science 10 ACSC MOTION UNIT Data Recording Skills. Projectiles. On Target with ACCURACY and Reliability. OVERVIEW: Data Recording Skills. A- Recording Measured Numbers B- PROJECTILE LAUNCHER “VEGGIE GUN” SHOOTING RANGE C- Reading Measured Numbers ACSC Skill Outcomes:

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Projectiles

Projectiles. Physics 2010. Projectile Motion. Free fall with an initial horizontal velocity (assuming we ignore any effects of air resistance) The curved path that an object follows when thrown or launched near the surface of Earth is called a trajectory. Projectiles.

1k views • 35 slides

Projectiles

Projectiles. Physics 2010. Projectile Motion. Free-fall with an initial horizontal velocity (assuming we ignore any effects of air resistance) The curved path that an object follows when thrown or launched near the surface of Earth is called a trajectory. Projectiles.

1.28k views • 36 slides

Projectiles

Projectiles. About projectile motion To the tune: “The Old Folks at Home” by Stephen Foster C is a comfortable key to sing it in. Projectiles – verse 1. When a thing is thrown and it zips off It will chase a parabolic arc We can do this with a gun or ball

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Projectiles

Sawyer , Will, and Lauren. Projectiles. Quadratic Equations are often used to find maximums and minimums for problems involving projectile motion. . The formula to solve projectiles is…. S(t)=-16t 2 +v o +s o S(t)-the projectiles height at any time v o t – the initial velocity

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Projectiles

Projectiles. Projectile Motion. Something is fired, thrown, shot, or hurled near the earth’s surface. Horizontal velocity is constant. Vertical velocity is accelerated. Air resistance is ignored. 1-Dimensional Projectile.

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Angled Projectiles

Angled Projectiles . Projectiles launched @ an angle. These projectiles are different from those launched horizontally since they now have an initial vertical velocity Examples: Kicking a football or a soccer ball Throwing a baseball Hitting a golf ball off a tee

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Projectiles

Projectiles. 2-D Motion. Now we have movement in both x & y dirs. Gravity acts down v y changes No force horizontally v x is constant. Steps. Separate everything into x & y columns only time can pass between the columns a = -9.8 m/s 2 in y -direction

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PROJECTILES

Two -Dimentional Motion. PROJECTILES. Projectile Motion. Objects thrown or launched into the air and subject to gravity. Ball A is dropped from the edge of a table while Ball B is simultaneously rolled off the edge with the initial speed V i. V i. B. A. A. B.

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Projectiles

Projectiles. Definition. 2 dimensional motion of an object after it has been thrown, shot, etc An object that has only the force of gravity working on it. an object dropped from rest an object thrown vertically upwards an object thrown horizontally an object thrown upwards at an angle.

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Projectiles

Projectiles . 10 Projectiles . By Ally Holland- Dor . By: Ally Holland-Dor . A baseball that has been pitched, batted, or thrown .

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Horizontal Projectiles

Horizontal Projectiles. What is a horizontal projectile?. Follows a parabolic path to the ground Predictable unknowns: Initial speed of the projectile Initial height of the projectile Time of flight Range of the projectile. Launched with a horizontal velocity from an elevated position.

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More Projectiles

More Projectiles. Example 1. A boy on a small hill aims his water balloon slingshot horizontally, straight at a second boy hanging from a tree branch at a distance (d) away. At the instant the balloon is released, the second boy lets go and falls. Did the second boy avoid the hit?. Example 2.

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Projectiles

Projectiles. When a particle is projected with a speed u, at an angle α to the horizontal it will move along a symmetric curve. . u. α. The initial speed is called the speed of projection of the particle

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Projectiles

Projectiles. A projectile will always follow these rules: . There are 2 types of motion: vertical & horizontal. Both happen at the same time, but are separate during projectile motion. . A projectile will always follow these rules: . In projectile motion equations , the

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Projectiles

2D Motion Principles of Physics. Projectiles. CAR A v = 2 m/s. CAR B v = 0. Both cars are the same distance above the ground, but Car A is traveling at 2 m/s and Car B has no velocity. Which car will hit the ground first?.

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Projectiles calculations

Projectiles calculations. Calculating the components of a vector using trigonometry and vertical and horizontal problems. Projectiles – vector component calculation.

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Projectiles

Projectiles. 1. Launched Horizontally: Stunt Car off Cliff. Only affected by gravity. Moving without touching a surface. 3 possible shapes. 2. Launched up at an angle : Football Punt. 3. In orbit : Satellite in orbit. (Think and share with a partner.)

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Projectiles

Projectiles. Courtesy www.physics.ubc.ca/.../p420_00/ darren/web/range/range.html. Two Dimensional Motion. Courtesy Physics Lessons.com. What’s a Projectile?. An object moving in two dimensions under the influence of gravity alone. You Predict.

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Projectiles

Projectiles. Objects that are thrown or launched into the air and are subject to gravity are called projectiles. Projectile motion is the curved path that an object follows when thrown, launched,or otherwise projected near the surface of Earth.

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300 Blackout Projectiles with Free Shipping

300 Blackout Reloading brass and bullets for sale. Brass and bullets in bulk for sale with Priority Free Shipping. http://www.usreloadingsupply.com/300-blackout-reloading-supplies

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Projectiles

Projectiles. Bellwork. Complete Wednesday and Thursday ’ s bell work Do not play with materials in basket. To do:. Place the images into 2 categories Projectile Motion Non-Projectile Motion. A Projectile is. An object thrown or launched into the air that is subject only to gravity.

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