If a Projectile Is Fired with an Initial Speed Of v

question 115

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

• A) \(36 s\)
• B) \(64 s\)
• C) \(16 s\)
• D) \(325\)
• E)none of these

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Definitions:

Insanity Defense

A legal defense strategy where the defendant claims they were unable to understand the nature or wrongness of their actions due to mental illness at the time of the crime.

M'Naghten Rule

A legal principle defining the insanity defense by assessing if a defendant was incapable of understanding the wrongness of their action due to a mental disorder at the time of the crime.

Legally Insane

A legal term indicating a person's inability to understand the nature of their actions or distinguish right from wrong due to mental illness.

Mental Disorder

A condition that affects a person's thinking, feeling, behavior, or mood, significantly impacting daily life and functioning.