The distance d in inches of a weight attached to a spring from its equilibrium as a function of time t in seconds can be modeled by the graph below. Which equation is the graph below

Respuesta :

To find the distance d we can use the equation d=√2.√1-cosθ.

Given that, the distance, d, of weight attached to the spring from its equilibrium as a function of time t in seconds.

What is the formula for angular momentum?

The formula for angular momentum is θ = ωT.

Where, ω=angular momentum, T=time and θ =angle.

You can convert it into time, by using θ = ωT and we can plot the graph of d against θ  or ωT as ω is constant.

As a result, we have the desired equation.

d²=(a-acosθ)²-sin²θ

⇒d=√(a-acosθ)²-sin²θ

⇒d=√a(2-2cosθ)

⇒d=√2a√1-cosθ

Let θ=0, 30, 60, 90,.... and a=1

d=√2√1-cos90

d=1.414

Similarly, we can find the distance for all the angles.

Therefore, to find the distance d we can use the equation d=√2.√1-cosθ.

To learn more about the distance visit:

https://brainly.com/question/15172156.

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