Question

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

Answer 1

Answer:

Maximum value of the function is 4.

Step-by-step explanation:

Given function of simple harmonic motion is $d=4\sin\left(\frac{\pi}{8}t\right)$.

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

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.

$\sin\left(\frac{\pi}{8}t\right) \leq 1$

$4 \sin\left(\frac{\pi}{8}t\right) \leq 4$

$d \leq 4$

Hence maximum value of the function is 4.