If a Projectile Is Fired with an Initial Speed Of v

question 79

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. What is the maximum height attained by the bullet?

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Definitions:

Control Group

In experimental research, it is the group that does not receive the treatment or intervention, serving as a baseline to compare against the experimental group.

Dimly Lit Room

A room that is lightly illuminated, often creating a subdued or intimate atmosphere.

Experimental Group

In an experiment, the group of participants that receives the treatment or intervention under investigation, as opposed to the control group.

Random Assignment

Assigning participants to experimental and control groups by chance, thus minimizing preexisting differences between the different groups.