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Projectile Motion 2 Launch Angles (symmetrical trajectories)

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Presentation on theme: "Projectile Motion 2 Launch Angles (symmetrical trajectories)"— Presentation transcript:

1 Projectile Motion 2 Launch Angles (symmetrical trajectories)
Physics 12

2 Comprehension Check An arrow is launched from a cliff with an initial velocity of 25m/s. If the cliff is 25m high determine: The time in the air How far from the base of the cliff it hits How fast it is going when it hits the ground

3 Projectiles Launched at an Angle
A golfer uses a club that launches a golf ball at a 15° angle at a speed of 45m/s. Determine the following: The time the golf ball is in the air The horizontal distance the ball travels The velocity as it strikes the ground The maximum height the ball attains

4 Start with the position in the y equation
Include the initial velocity in the y term Solve for when the position in the y is equal to zero

5 Use the time from the previous question and the position in the x equation
Solve for the range (horizontal distance)

6 Solve for the velocity in the x and y direction

7 Use Pythagorean Theorem and Trig to solve for final velocity

8 Max height will occur when y velocity is equal to zero
Max height will occur when y velocity is equal to zero. Solve for time and then sub into y position equation

9 Practice Problems Page 536 Questions 1-8 Page 549 Questions 13-14


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