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PHYS16 – Lecture 8 Projectile Motion: Max Range and Height September 24, 2010 Fox Trot by Bill Amend

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Agenda Derive Shoot the Monkey Derive Max height and Range for Projectile Motion Outside Demo Day

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Derive Shoot the Monkey If shoot gun and monkey falls from height at the same time, where do I aim gun to hit monkey? (Answer: At monkey) http://physics.ucr.edu/~wudka/Physics7/Notes_www/img149.gif v0v0 θ x monkey y monkey

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Derive Shoot the Monkey 1) Find time for bullet to go x monkey, then solve for bullet’s y position

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Derive Shoot the Monkey 2) Find the monkey’s y position at the same time

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Derive Shoot the Monkey 3) Set the two positions equal to each other and find out where We should aim our gun… Aim at Monkey!!!

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Derive max y & x for Projectile http://schools-wikipedia.org/images/189/18902.png θ x max

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Outside Demo Day

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Drop Balls off of Merrill Beach Objective: to see which balls are the most affected by air resistance – Physics says that in vacuum all balls should fall with the same acceleration and land at the same time, neglecting air resistance

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Shoot Water Rockets Objective: to determine the angle with air resistance that allows for the max distance – Physics says that without air resistance, angle that give max distance is 45 degrees

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Sling Shot Objective: Calculate the initial velocity of a sling shot – Shoot the sling shot only in x then measure where it hit the ground and how long it took it to hit the ground – Initial velocity = distance/time, as long as you neglect air resistance

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