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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Definitions:

Ceramic Technology

Refers to the methods and techniques used in the production and decoration of ceramic objects, encompassing pottery, tiles, and sculptures.

Amida Buddha

A celestial Buddha according to the scriptures of Mahayana Buddhism, often associated with pure land teachings and meditation.

Esoteric Sects

Religious or spiritual groups with teachings that are meant to be understood and followed by a specific inner circle of initiated members, often emphasizing mystical, occult, or secretive traditions.

Jomon Culture

A prehistoric Japanese culture known for its early pottery, roughly dating from 14,000 BC to about 300 BC, characterized by cord-patterned pottery.