Trigonometry Question
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Grade 11 Trigonometry CCSS: HSF-TF.B.7
A certain cat toy is suspended from the ceiling and bounces a bird-like object up and down. The bird-like object, which is hanging on a string, easily detaches if the cat catches it. The ceiling attachment has a small motor, which keeps the bird-like object bouncing up and down as if it were on a spring. The function H(t)=0.5cos(π3t)+2 describes the height of the object from the floor, in meters, given the amount of time, in seconds, since the toy has been activated. If an average cat can jump about 1.7 m, about how long does an average cat have to catch the toy while its within range during each bouncing cycle?
- 0.9 seconds
- 2.1 seconds
- 1.8 seconds
- 4.2 seconds