Question

for a short time after a wave is created by wind, the height of the wave can be modeled using y = a sin 2π/T, where a is the amplitude and T is the period of the wave in seconds. How many times over the first 5 seconds does the graph predict the wave to be 2 feet height?

Answer 1

I think the wave is 2x)t

Answer 2

Answer:

2 times

Step-by-step explanation:

We are given that the height of the wave can be modeled using

$y=asin \frac{2\pi}{T}$

We have to find the value of amplitude

T=5 seconds

Height =y=2 feet

Where a = Amplitude

Substitute the values then we get

$2 =a sin \frac{2\times 180}{5}$

Because $pi=180 ^{\circ}$

$2=a sin 72^{\circ}$

$2= a\times 0.952[/txe][tex]a=\frac{2}{0.952}$

a=2.1

Amplitude =2 feet

Hence, the graph is 2 times over the first 5 seconds when the wave to be 2 feet height.