Vectors & Projectile Motion. Motion is Relative ► Frame of Reference - perspective from which you...
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Transcript of Vectors & Projectile Motion. Motion is Relative ► Frame of Reference - perspective from which you...
![Page 1: Vectors & Projectile Motion. Motion is Relative ► Frame of Reference - perspective from which you observe.](https://reader036.fdocuments.us/reader036/viewer/2022081512/5697bff21a28abf838cbbf38/html5/thumbnails/1.jpg)
Vectors & Projectile Motion
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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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Pythagorean Theorem
a2 + b2 = c2
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► c2 = a2 + b2
► c2 = 802 + 602 ► c2 = 6400 + 3600 ► √c2 = √10,000► c = 100 km/hr
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EX) What is the resultant vector for 4 km/hr north and 3 km/hr
east?
► c2 = a2 + b2
► c2 = 42 + 32
► c2 = 16 + 9
► c2 = 25► c = 5
km/h
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►Boat crossing river animation…http://www.schulphysik.de/suren/Applets.html
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Vector addition
► Pythagorean Theorem -
► Parallelograms -
► Head-to-tail method -
► Trigonometry -
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What is the vertical and horizontal component of a
vector? http://www.batesville.k12.in.us/Physics/APPhyNet/Vectors/Hor_&_Vert_Comps.html
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SOH-CAH-TOA
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Ex) What are the horizontal and vertical components of the
following vector?
3634sin
y
3634cos
x
my 20
mx 30
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Projectile Motion
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
vtdx 2
2
1atd y
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How fast is the ball thrown?
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►Vertical►d= .5at2
►5 = .5(10)t2
►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 not 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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This type of problem is more difficult…
► http://physicsquest.homestead.com/quest3n.html ► http://www.mesacc.edu/~
scotz47781/mat120/notes/projectile_motion/projectile_motion.html