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An owl is flying in the air with a mouse in its beak. It drops the mouse from a height of 30 feet. The distance the mouse is from the ground as it falls can be represented by the function f(t) = −16t2 + 30, where t is the time, in seconds. To catch the mouse as it falls, the owl flies along a path represented by the function g(t) = −8t + 15. How far from the ground will the owl catch the mouse?
Sagot :
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