Understand the Advantages of Parametric Representations
-Ron Throws a Ball $x = 0 ; y = - 16 t ^ { 2 } + 40 t + 5$

question 46

Multiple Choice

Understand the Advantages of Parametric Representations
-Ron throws a ball straight up with an initial velocity of 40 feet per second from 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) \(x = 0 ; y = - 16 t ^ { 2 } + 40 t + 5\);
• \(2.619 \mathrm { sec } ;\)
• \(1.25 \mathrm { sec } ;\)
• \(30\) feet
• B) \(x = 0 ; y = - 16 t ^ { 2 } + 40 t + 5\);
• \(5.239 \mathrm { sec } ;\)
• \(1.25 \mathrm { sec } ;\)
• \(25\) feet
• C) \(x = 0 ; y = - 16 t ^ { 2 } + 40 t + 5 ;\)
• \(2.368 \mathrm { sec }\)
• \(1.25 \mathrm { sec } ;\)
• \(5.001\) feet
• D) \(x = 0 ; y = - 16 t ^ { 2 } + 40 t + 5\);
• \(4.736 \mathrm { sec } ;\)
• \(1.25 \mathrm { sec } ;\)
• \(184.439\) feet

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