Question

For the simple harmonic motion equation d=4sin(pi/8t) what is the maximum?

Answer 1

The maximum disreplacement is 8

Answer 2

Maximum value of the function is 4.

Explanation:

Given function of simple harmonic motion is
`d=4\sin\left((\pi)/(8)t\right)`.

Now we need to find about what is the maximum value of
`d=4\sin\left((\pi)/(8)t\right)`.

We know that value of sine function varies from -1 to 1.

that means for any value of t, maximum value of sine function is 1.

`\sin\left((\pi)/(8)t\right) \leq 1`

`4 \sin\left((\pi)/(8)t\right) \leq 4`

`d \leq 4`

Hence maximum value of the function is 4.