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Sigma
Lv 4
Sigma asked in Science & MathematicsPhysics · 10 years ago

How long does it spend in the air?

An arrow is shot at an angle of 45 degrees above the ground. The arrow hits a target at the same level above the ground as it was shot from 220 m away. ( delta y = 0) Use 9.8m/sec for gravity. How long is the arrow in the air?

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  • 10 years ago
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    There is a couple of standard equation that make life easier for this calculation ..

    Find launch velocity from the range equation .. R = u².sin2θ /g

    u² = Rg /sin 2θ .. .. u² = (220 x 9.80) / sin90 .. u = 46.43 m/s

    Use the time equation .. t = 2u.sinθ/g

    t = (2 x 46.43 x sin45) / 9.80 .. .. t = 6.70 s

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