The Parametric Equations for the Path of a Projectile Launched

question 86

Multiple Choice

The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 95 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations and . Round your answer to one decimal place. ​ ​

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Definitions:

Bony Features

Characteristics or structures formed by bone, such as projections, depressions, and openings, that serve as sites for muscle attachment or passages for nerves and blood vessels.

Sella Turcica

A saddle-shaped depression in the sphenoid bone at the base of the human skull that houses the pituitary gland.

Sphenoid Bone

A butterfly-shaped bone at the base of the skull that is connected to all other skull bones.

Hyoid

A U-shaped bone in the neck that supports the tongue and provides attachment for muscles associated with swallowing.