A simple harmonic motion is represented by y = 8 sin 10 `pi` t + 6 cos 10 `pit`, where is in cm and t is in sec. Calculate the amplitude time period and intial phase.

Explanation

To solve the problem, we need to analyze the given equation of simple harmonic motion (SHM):

**Given:**
\[ y = 8 \sin(10 \pi t) + 6 \cos(10 \pi t) \]

We need to find the amplitude, time period, and initial phase.

### Step 1: Convert the equation to a single sine function
...