The Parametric Equations for the Path of a Projectile Launched

question 6

Multiple Choice

The parametric equations for the path of a projectile launched at a height h feet above the ground,at an angle θ with the horizontal and having an initial velocity of v₀ 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 feet above the ground.It leaves the bat at an angle of θ degrees with the horizontal at a speed of 100 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. ​ ​

• A)25.5°
• B)19.5°
• C)3.4°
• D)4.5°
• E)11.3°

---

Definitions:

Karen Horney

A 20th-century psychoanalyst known for her theories on neurosis, personality development, and the concept of basic anxiety.

Archetypes

Universal, symbolic images or themes that recur across different cultures and literature, reflecting common human experiences.

Defense Mechanisms

Psychological strategies used unconsciously by individuals to protect themselves from anxiety or unacceptable thoughts and feelings.

Erogenous Zones

Specific areas of the body that are especially sensitive to stimulation and can lead to sexual arousal.