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Vlad is playing on a swing set.
His horizontal distance D(t) in m) from the center where being behind the center means a negative distance
as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a-cost-t) +
Att = 0, when he pushes off, he is 1 m behind the center, which is as far back as he goes. The shing reaches
the center - seconds later,

Respuesta :

Answer:

D(t)=-cos(3t)

Step-by-step explanation:

MrRoyal

The sinusoidal expression of the function is D(t) = -cos(3t)

How to determine the sinusoidal expression?

When he pushes off, he is 1 m behind the center.

This means that:

Amplitude, a = 1.

But we use, a = -1 because he is behind

The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).

So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0

Simplify 2π/B = 4 * π/6

2π/B = 2π/3

By comparison, we have:

B = 3

The function is given as:

a cos(Bt) + d

Substitute the calculated values

D(t) = -cos(3t)

Hence, the sinusoidal expression of the function is D(t) = -cos(3t)

Read more about sinusoidal expressions at:

https://brainly.com/question/16653126