The equation of particle executing simple harmonic motion is `x = (5m) sin [(pis^(-1))t+(pi)/(4)]`. Write down the amplitude, time period and maximum speed. Also find the velocity at `t = 1 s`.

Explanation

To solve the problem step by step, we will analyze the given equation of motion for a particle executing simple harmonic motion (SHM) and extract the required parameters.

### Given:
The equation of motion is:
\[ x = (5 \, \text{m}) \sin \left( \frac{\pi}{1} t + \frac{\pi}{4} \right) \]

### Step 1: Identify the Amplitude
The amplitude \( A \) of the SHM is the coefficient of the sine function in the equation.
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