A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way that can be modeled by a trigonometric function. The function has period 0.8 seconds, amplitude 6 cm, and midline H = 15 cm. At time t = 0.5 seconds, the bob is at its midline, moving towards the wall. Find the formula of the trigonometric function that models the distance H from the pendulum's bob to the wall after t seconds. Define the function using radians. H(t) =

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Chapter1: Trigonometry
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Modeling with sinusoidal functions: phase shift
A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in
a periodic way that can be modeled by a trigonometric function.
The function has period 0.8 seconds, amplitude 6 cm, and midline H = 15 cm. At time t = 0.5 seconds, the
bob is at its midline, moving towards the wall.
Find the formula of the trigonometric function that models the distance H from the pendulum's bob to the
wall after t seconds. Define the function using radians.
H(t) =
Report a problem
Stuck? Watch a video or use a hint.
Do 4 problems
Transcribed Image Text:Calendar A or B day Logic Games - Bra... Modeling with sinusoidal functions: phase shift A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way that can be modeled by a trigonometric function. The function has period 0.8 seconds, amplitude 6 cm, and midline H = 15 cm. At time t = 0.5 seconds, the bob is at its midline, moving towards the wall. Find the formula of the trigonometric function that models the distance H from the pendulum's bob to the wall after t seconds. Define the function using radians. H(t) = Report a problem Stuck? Watch a video or use a hint. Do 4 problems
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