Understand the Advantages of Parametric Representations
-A Baseball Pitcher Throws $20 ^ { \circ }$

question 185

Multiple Choice

Understand the Advantages of Parametric Representations
-A baseball pitcher throws a baseball with an initial velocity of 126 feet per second at an angle of $20 ^ { \circ }$ to the horizontal. The ball leaves the pitcher's hand at a height of 5 feet. 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 maximum height of the ball?

• A)
• \(\begin{array}{l}
• x=118.4 \mathrm{t} ; \mathrm{y}=-16 \mathrm{t}^{2}+43.09 \mathrm{t}+5 \\
• 2.805 \mathrm{sec} ; \\
• 1.347 \mathrm{sec} ; \\
• 34.012 \text { feet }
• \end{array}\)
• B)
• \(\begin{array}{l}
• x=118.4 t ; y=-16 t^{2}+43.09 t+5 \\
• 5.609 \mathrm{sec} ; \\
• 1.347 \mathrm{sec} ; \\
• 29.012 \text { feet }
• \end{array}\)
• C)
• \(\begin{array}{l}
• x=118.4 \mathrm{t} ; \mathrm{y}=-16 \mathrm{t}^{2}+43.09 \mathrm{t}+5 \\
• 2.572 \mathrm{sec} ; \\
• 1.347 \mathrm{sec} ; \\
• 4.985 \text { feet }
• \end{array}\)
• D)
• \(\begin{array}{l}
• x=118.4 t ; y=-16 t^{2}+43.09 t+5 \\
• 5.143 \mathrm{sec} ; \\
• 1.347 \mathrm{sec} ; \\
• 237.094 \text { feet }
• \end{array}\)

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