The motion of a weight that hangs from a spring is represented by the equation h=-5sin(3pi/4 t) . It models the weight’s height, h, in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 4 inches below the rest position? Round to the nearest hundredth, if necessary. 0 seconds 0.29 seconds 0.39 seconds 1.95 seconds

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Answer:

The answer on edge is C: 0.39 seconds.

Step-by-step explanation:

At t = 0.39 seconds the object is 4 inches below the rest position option third is correct.

What is sin function?

It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is a amplitude of the function.

We have:

The motion of a weight that hangs from a spring is represented by the equation:

h = -5sin[(3π/4)t]

Plug h = -4

-4 = -5sin[(3π/4)t]

Or

-4 = -5sin[135t]

135t = 53.13

t = 0.39 seconds

Thus, at t = 0.39 seconds the object is 4 inches below the rest position option third is correct.

Learn more about the sin function here:

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