Solve
-A Baseball Pitcher Throws a Baseball with an Initial $20 ^ { \circ }$

question 36

Multiple Choice

Solve.
-A baseball pitcher throws a baseball with an initial speed of 140 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) \(x = 124.04 t\) and \(y = - 16 t ^ { 2 } + 45.14 t + 5\)
• \(5.856 \mathrm { sec } , 1.411 \mathrm { sec }\)
• \(31.838\) feet
• B) \(x = 124.04 t\) and \(y = - 16 t ^ { 2 } + 45.14 t + 5\)
• \(5.412 \mathrm { sec } , 1.411 \mathrm { sec }\),
• \(259.702\) feet
• C) \(x = 124.04 t\) and \(y = - 16 t ^ { 2 } + 45.14 t + 5\)
• \(2.706 \mathrm { sec } , 1.411 \mathrm { sec }\)
• \(4.99\) feet
• D) \(x = 131.56 t\) and \(y = - 16 t ^ { 2 } + 47.88 t + 5\)
• \(3.094 \mathrm { sec } , 1.496 \mathrm { sec }\)
• \(40.82\) feet

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