H.O.T. Focus on Higher Order Thinking 24. Critical Thinking When a batter hits a baseball, you can model the ball's height using a quadratic function that accounts for the ball's initial vertical velocity. However, once the ball reaches its maximum height, its vertical velocity is momentarily 0 feet per second, and you can use the model h(t) = h, – 16t² to find the ball's height h (in feet) at time t (in seconds) as it falls to the ground. a. Suppose a fly ball reaches a maximum height of 67 feet and an outfielder catches the ball 3 feet above the ground. How long after the ball begins to descend does the outfielder catch the ball? b. Can you determine (without writing or solving any equations) the total time the ball was in the air? Explain your reasoning and state any assumptions you make.

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Chapter1: Units, Trigonometry. And Vectors
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H.O.T. Focus on Higher Order Thinking
24. Critical Thinking When a batter hits a baseball, you
can model the ball's height using a quadratic function that
accounts for the ball's initial vertical velocity. However, once
the ball reaches its maximum height, its vertical velocity is
momentarily 0 feet per second, and you can use the model
h(t) = ho – 16t to find the ball's height h (in feet) at time t
(in seconds) as it falls to the ground.
a. Suppose a fly ball reaches a maximum height of 67 feet and an outfielder catches
the ball 3 feet above the ground. How long after the ball begins to descend does the
outfielder catch the ball?
b. Can you determine (without writing or solving any equations) the total time the ball
was in the air? Explain your reasoning and state any assumptions you make.
Transcribed Image Text:H.O.T. Focus on Higher Order Thinking 24. Critical Thinking When a batter hits a baseball, you can model the ball's height using a quadratic function that accounts for the ball's initial vertical velocity. However, once the ball reaches its maximum height, its vertical velocity is momentarily 0 feet per second, and you can use the model h(t) = ho – 16t to find the ball's height h (in feet) at time t (in seconds) as it falls to the ground. a. Suppose a fly ball reaches a maximum height of 67 feet and an outfielder catches the ball 3 feet above the ground. How long after the ball begins to descend does the outfielder catch the ball? b. Can you determine (without writing or solving any equations) the total time the ball was in the air? Explain your reasoning and state any assumptions you make.
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