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Vectors/time in motion

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"An artillery shell is fired with an initial speed of 1.80x10^3 m/s at a angle of 54.3 degrees above the horizontal and returns to its original level before impact. Neglecting air resistance, calculate the time it is in motion. And calculate the horizontal distance traveled."

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https://brainmass.com/physics/resistance/vectors-time-in-motion-8786

Solution Preview

there are 2 components of velocity
<br>horizontal, which is u cos P, where P = 54.3°
<br>Verticle, which is u sin P
<br>
<br>u = 1800 m/s
<br>P = 54.3
<br>
<br>so u horizontal = u cos P = 1150.374 m/s......1
<br>and u ...

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