Solve
-A Baseball Player Hit a Baseball with an Initial $40 ^ { \circ }$

question 117

Multiple Choice

Solve.
-A baseball player hit a baseball with an initial speed of 160 feet per second at an angle of $40 ^ { \circ }$ to the horizontal. The ball was hit at a height of 4 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 distance the ball traveled?

• A) \(x = 114.9 t\) and \(y = - 16 t ^ { 2 } + 96.45 t + 3\)
• \(6.059 \mathrm { sec } , 3.014 \mathrm { sec }\),
• \(1171.774\) feet
• B) \(x = 114.9 t\) and \(y = - 16 t ^ { 2 } + 96.45 t + 3\)
• \(5.997 \mathrm { sec } , 3.014 \mathrm { sec }\),
• \(689.055\) feet
• C) \(x = 122.56 t\) and \(y = - 16 t ^ { 2 } + 102.88 t + 4\)
• \(6.469 \mathrm { sec } , 3.215 \mathrm { sec }\)
• \(12.937 \mathrm { sec } , 3.215 \mathrm { sec }\)
• D) \(x = 122.56 t\) and \(y = - 16 t ^ { 2 } + 102.88 t + 4\)
• \(792.841\) feet
• \(1,585.559\) feet

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