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Author Question: The launching velocity of a projectile is 20 m/s at 53° above the horizontal. What is the vertical component o (Read 948 times)

j_sun

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on: Jun 23, 2013
The launching velocity of a projectile is 20 m/s at 53° above the horizontal. What is the vertical component of its velocity at launch?
 m/s
Its horizontal component of velocity?
 m/s


curlz

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Reply #1 on: Jun 23, 2013
vertical:
20 sin 53
16.0 m/s

horizontal:
20 cos 53
12.0 m/s


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Sandstorm

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Reply #2 on: Jun 23, 2013
Consider a triangle ABC where angle B=90degrees, angle C=53degrees.
Let AC=20 m/s
cos C=BC/AC where BC=horizontal component.
Hence, Horizontal component=ACcosC=20*cos(53)

sin C=AB/AC, where AB=vertical component.
Hence, Vertical component=ACsinC=20*sin(53).


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