Understand the Advantages of Parametric Representations
-A Baseball Player Hit $40 ^ { \circ }$

question 227

Multiple Choice

Understand the Advantages of Parametric Representations
-A baseball player hit a baseball with an initial velocity of 180 feet per second at an angle of $40 ^ { \circ }$ to the horizontal. The ball was hit at a height of 3 feet off the ground. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the horizontal distance the ball traveled?

• A) \(x = 137.88 t ; y = - 16 t ^ { 2 } + 115.74 t + 3\);
• \(7.26 \mathrm { sec } ;\)
• \(3.617 \mathrm { sec }\)
• 1001.009 feet
• B) \(x = 137.88 \mathrm { t } ; \mathrm { y } = - 16 \mathrm { t } ^ { 2 } + 115.74 \mathrm { t } + 3\);
• \(14.519 \mathrm { sec } ;\)
• \(3.617 \mathrm { sec }\)
• \(2001.88\) feet
• C) \(x = 137.88 t ; y = - 16 t ^ { 2 } + 115.74 t + 3\);
• \(7.208 \mathrm { sec } ;\)
• \(3.617 \mathrm { sec } ;\)
• \(993.839\) feet
• D) \(x = 137.88 t ; y = - 16 t ^ { 2 } + 115.74 t + 3\);
• \(7.26 \mathrm { sec }\)
• \(3.617 \mathrm { sec } ^ { ; } ;\)
• \(1683.594\) feet

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Definitions:

Dehydration

The loss or removal of water from a substance or organism, often leading to impairment of normal functions.

Voluntary

Actions or movements that are controlled by the individual's will, often referring to muscle movements.

Smooth Muscle

A type of muscle found in the walls of internal organs and blood vessels, responsible for involuntary movements within the body.

Not Striated

Describes muscle tissue that does not display a pattern of bands or stripes under a microscope, often referring to smooth muscle found in the walls of internal organs.