Lesson Thread I Full Projectile Motion 12/1/20131Intellectual Property of Mr. Gary.

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Presentation transcript:

Lesson Thread I Full Projectile Motion 12/1/20131Intellectual Property of Mr. Gary

Projectile Motion Lesson I Determine the Maximum Height Part a 12/1/20132Intellectual Property of Mr. Gary

A batter on the ladies softball team hits a fly ball with an initial velocity of 35 m/s at an angle of 27° above the horizontal. Calculate (a) the maximum height the ball reaches above the ground, (b) the x, y – components of the velocity of the ball at the maximum height, (c) the time it takes the ball to reach the maximum height, (d) the maximum range the ball traveled from the batter. Question: Part a 12/1/20133Intellectual Property of Mr. Gary

Sketch: Part a 12/1/20134Intellectual Property of Mr. Gary

Component Equations: Part a 12/1/20135Intellectual Property of Mr. Gary

Solution: Part a 12/1/20136Intellectual Property of Mr. Gary

Projectile Motion Lesson II Determine the x, y – components at the maximum height. Part b 12/1/20137Intellectual Property of Mr. Gary

A batter on the ladies softball team hits a fly ball with an initial velocity of 35 m/s at an angle of 27° above the horizontal. Calculate (a) the maximum height the ball reaches above the ground, (b) the x, y – components of the velocity of the ball at the maximum height, (c) the time it takes the ball to reach the maximum height, (d) the maximum range the ball traveled from the batter. Question: Part b 12/1/20138Intellectual Property of Mr. Gary

Sketch: Part b 12/1/20139Intellectual Property of Mr. Gary

Component Equations: Part b 12/1/201310Intellectual Property of Mr. Gary

Solution: Part b 12/1/201311Intellectual Property of Mr. Gary

Projectile Motion Lesson III Calculate the time taken to reach the maximum height Part c 12/1/201312Intellectual Property of Mr. Gary

A batter on the ladies softball team hits a fly ball with an initial velocity of 35 m/s at an angle of 27° above the horizontal. Calculate (a) the maximum height the ball reaches above the ground, (b) the x, y – components of the velocity of the ball at the maximum height, (c) the time it takes the ball to reach the maximum height, (d) the maximum range the ball traveled from the batter. Question: Part c 12/1/201313Intellectual Property of Mr. Gary

Sketch: Part c 12/1/201314Intellectual Property of Mr. Gary

Component Equations: Part c 12/1/201315Intellectual Property of Mr. Gary

Solution: Part c 12/1/201316Intellectual Property of Mr. Gary

Projectile Motion Lesson IV Calculate the Range the particle travels horizontally Part d 12/1/201317Intellectual Property of Mr. Gary

A batter on the ladies softball team hits a fly ball with an initial velocity of 35 m/s at an angle of 27° above the horizontal. Calculate (a) the maximum height the ball reaches above the ground, (b) the x, y – components of the velocity of the ball at the maximum height, (c) the time it takes the ball to reach the maximum height, (d) the maximum range the ball traveled from the batter. Question: Part d 12/1/201318Intellectual Property of Mr. Gary

Sketch: Part d x = Range 12/1/201319Intellectual Property of Mr. Gary

Component Equations: Part d 12/1/201320Intellectual Property of Mr. Gary

Solution: Part d 12/1/201321Intellectual Property of Mr. Gary