If a Projectile Is Fired with an Initial Speed Of v

question 7

Short Answer

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. After how many seconds will the bullet hit the ground?

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