Projectile Motion 2 Launch Angles (symmetrical trajectories)

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By: Nahdir Austin Honors Physics Period 2

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Presentation transcript:

Projectile Motion 2 Launch Angles (symmetrical trajectories) Physics 12

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

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

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

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

Solve for the velocity in the x and y direction

Use Pythagorean Theorem and Trig to solve for final velocity

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

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