Trigonometry Question
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Grade 11 Trigonometry CCSS: HSF-TF.B.7
Kayla is currently swinging on a swing. The function D(t)=1.4sin(π3t)+1.9 describes the vertical distance she is from the ground in meters, given the amount of time that has elapsed, in seconds, from her current position (t=0). She wants to jump off the swing, but doesn't want to be too high when she does so. She plans to jump off the swing when she is about 0.8 m off the ground. Kayla also wants to be swinging forward when she jumps off, but only once she has passed the center line (where the swing is lowest). Which of the following times represent a possible opportunity for when she could jump off? Assume that she is swinging forward at t=0.
- 3.8 seconds
- 0.9 seconds
- 11.1 seconds
- 5.1 seconds