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Vectors and Scalars
Projectile Motion
Relative Motion
VectorOperations
Random
![Page 2: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/2.jpg)
What is a physical quantity that has both direction and
magnitude?
![Page 3: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/3.jpg)
A vector
![Page 4: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/4.jpg)
What is a quantity that can be completely specified by its
magnitude but with no direction?
![Page 5: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/5.jpg)
A scalar
![Page 6: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/6.jpg)
What is the answer found by adding two vectors?
![Page 7: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/7.jpg)
The Resultant
![Page 8: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/8.jpg)
What is the result of multiplying or dividing vectors?
![Page 9: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/9.jpg)
Vectors
![Page 10: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/10.jpg)
A car moves north 30 miles then puts it in reverse for 15 miles. What is its displacement from
start to finish?
![Page 11: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/11.jpg)
15 miles North
![Page 12: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/12.jpg)
What is and object that is launched or thrown into the air
that is subject to gravity?
![Page 13: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/13.jpg)
A projectile
![Page 14: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/14.jpg)
What is the path of a projectile?
![Page 15: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/15.jpg)
A parabola
![Page 16: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/16.jpg)
What slows down a projectile while in flight?
![Page 17: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/17.jpg)
Air resistance
![Page 18: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/18.jpg)
Once a projectile is fired horizontally, neglecting
resistance, what is its acceleration?
![Page 19: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/19.jpg)
0 m/s²
![Page 20: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/20.jpg)
The royal Gorge Bridge in Colorado rises 320m above the Arkansas river. Suppose you
kick a little rock horizontally off the bridge. The rock hits the
water such that the magnitude of its horizontal displacement is
50m. Find the speed at which the rock was kicked.
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6.2 m/s
![Page 22: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/22.jpg)
What do velocity measurements depend on?
![Page 23: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/23.jpg)
The frame of reference of the observer
![Page 24: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/24.jpg)
When a projectile is fired at and angle, what will its velocity be
when it hits the ground?
![Page 25: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/25.jpg)
The same as its initial velocity, but negative
![Page 26: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/26.jpg)
What is the range of a projectile?
![Page 27: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/27.jpg)
The horizontal distance it covers
![Page 28: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/28.jpg)
What is the amount of time a projectile is in flight called?
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Hang time
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A boat heading north crosses a wide river with a velocity of 20 km/h relative to the water. The
river has a uniform velocity of 10 km/h due east. Determine the
boat’s velocity with respect to an observer on shore.
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22.36 km/h @ 46 degrees east
![Page 32: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/32.jpg)
What is the Pythagorean theorem?
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A² + B² = C²
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What is the Sin equation?
![Page 35: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/35.jpg)
Opposite side over hypotenuse
![Page 36: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/36.jpg)
What is the Cos equation?
![Page 37: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/37.jpg)
Adjacent side over hypotenuse
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What is the Tan equation?
![Page 39: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/39.jpg)
Opposite side over adjacent
![Page 40: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/40.jpg)
A man moves 80 m horizontally, then travels 40 m at an angle of
30 degrees above the horizontal. What is its displacement from the
starting point?
![Page 41: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/41.jpg)
116.37 m
![Page 42: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/42.jpg)
What angle gives the greatest hang time?
![Page 43: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/43.jpg)
90 degrees
![Page 44: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/44.jpg)
What angle gives the greatest range?
![Page 45: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/45.jpg)
45 degrees
![Page 46: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/46.jpg)
What angle gives the greatest height?
![Page 47: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/47.jpg)
90 degrees
![Page 48: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/48.jpg)
How would an increase in mass effect the range of a projectile?
![Page 49: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/49.jpg)
It wouldn’t
![Page 50: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/50.jpg)
How would an increase in velocity effect the range?
![Page 51: 200](https://reader036.fdocuments.net/reader036/viewer/2022081520/56815560550346895dc32b22/html5/thumbnails/51.jpg)
It would increase the range