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Vectors & Projectile Motion Physics LG Jan. 30, 2009

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Motion is Relative ► Frame of Reference - perspective from which you observe

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Truck at Rest If the ball is thrown at 60 km/h relative to the truck, at what velocity will the person catch the ball at?

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Truck Moving Away ► ► If the ball is thrown at 60 km/h west relative to the truck and the truck moves at 40 km/h east relative to the catcher, at what velocity will the person catch the ball at?

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Truck Moves Towards ► ► If the ball is thrown at 60 km/h west relative to the truck and the truck moves at 40 km/h west relative to the catcher, at what velocity will the person catch the ball at?

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► Scalar - measurement of magnitude only Ex) mass, volume, speed ► Vector - measurements with both magnitude and direction Ex) velocity, acceleration, force

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arrowhead = direction length of arrow = magnitude Vectors

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Vector addition

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Resultant – sum of vectors

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► Boat crossing river animation… l l

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Pythagorean Theorem a 2 + b 2 = c 2 a 2 + b 2 = c 2

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► c 2 = a 2 + b 2 ► c 2 = ► c 2 = ► √c 2 = √10,000 ► c = 100 km/hr

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Example Problem ► c 2 = a 2 + b 2 ► c 2 = ► c 2 = ► c 2 = 25 ► c = 5 km/h

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Vector addition ► Pythagorean Theorem - ► Parallelograms - ► Head-to-tail method - ► Trigonometry -

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Vector Addition

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What is the vertical and horizontal component of a vector?

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Projectile Motion Projectile – an object moving through air affected by gravity Projectile – an object moving through air affected by gravity

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Projectile Demos ► Shooter/ Dropper ► Monkey and Hunter

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Projectile Motion Horizontal and vertical motion act independently Horizontal and vertical motion act independently

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How fast is the ball thrown?

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► Vertical ► d=.5at 2 ► 5 =.5(10)t 2 ► t= 1 second ► Horizontal ► v= d/t ► v= 20m/1s ► v= 20 m/s The ball is thrown at 20 m/s!

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What angle should a ball be kicked to get the farthest? Upwardly-Moving Projectiles

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Projectiles launched at the same speed but different angles.

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Shot Put - 45º is not the ideal angle, why? You are already off the ground 1-2 meters.

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45º is the ideal angle for high speed projectiles either. Why? 45º is the ideal angle for high speed projectiles either. Why? Air resistance must be considered.

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Fast Moving Projectiles ► What would happen if you threw a ball so fast that the curvature of the earth came into play?

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Fast Moving Projectiles ► Satellite- a projectile traveling fast enough to fall around the earth rather than into ► To stay in orbit around the earth, a satellite needs to travel at 8 km/s!

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Hang Time

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Due Next Week POTW 11s Bull’s eye lab 12s Rocket Lab 30s Motion Worksheet #1 31s Motion Worksheet #2 32s Motion Review Test will be next Thursday Feb 5 th ► ► Study the 1s, 2s, labs, and worksheets ► ► Use the back page of booklet under motion for note sheet for test.

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