![D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right]](/tpl/images/0640/4642/693da.png)
- Initial distance from the floor of the lake, in meters.
- Amplitude of oscillation, in meters.
- Angular frequency, in radians.
A toy boat is bobbing in the water.
Its distance D(t) (in m) from the floor of the lake...
Mathematics, 05.05.2020 16:58 enrique710
A toy boat is bobbing in the water.
Its distance D(t) (in m) from the floor of the lake as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a×sin(b×t) + d.
At t=0, when the boat is exactly in the middle of its oscillation, it is 1 m above the water's floor. The boat reaches its maximum height of 1.2 m after pi/4 seconds.
Find D(t).
Answers: 3
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