If a Projectile Is Fired with an Initial Speed Of v

question 111

Multiple Choice

If a projectile is fired with an initial speed of $v _ { 0 }$ ft/s at an angle $\alpha$
Above the horizontal, then its position after t seconds is given by the parametric equations $x = \left( v _ { 0 } \cos \alpha \right) t \text { and } y = \left( v _ { 0 } \sin \alpha \right) t - 16 t ^ { 2 }$
Where x and y are measured in feet. Suppose a gun fires a bullet into the air with an initial speed of 1024 ft/s at an angle of $30 ^ { \circ }$
To the horizontal. How far from the gun will the bullet hit the ground?

• A) \(2.3 \mathrm { mi }\)
• B) \(3.2 \mathrm { mi }\)
• C) \(28.8 \mathrm { mi }\)
• D) \(4.5 \mathrm { mi }\)
• E) \(5.4 \mathrm { mi }\)

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