If a Projectile Is Fired with an Initial Velocity Of \mathcal

question 71

Multiple Choice

If a projectile is fired with an initial velocity of $\mathcal { v } _ { 0 }$ meters per second at an angle $\alpha$ above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations $x = \left( v _ { 0 } \cos \alpha \right) t$ , $y = \left( v _ { 0 } \sin \alpha \right) t - \frac { 1 } { 2 } g t ^ { 2 }$ , where g is the acceleration of gravity $\left( 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } \right)$ . If a gun is fired with $\alpha = 55 ^ { \circ }$ and $\nu _ { 0 } = 440 \mathrm {~m} / \mathrm { s }$ when will the bullet hit the ground?

• A) \(t = 226 \mathrm {~s}\)
• B) \(t = 346 \mathrm {~s}\)
• C) \(t = 246 \mathrm {~s}\)
• D) \(t = 126 \mathrm {~s}\)
• E) \(t = 76 \mathrm {~s}\)

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