The displacement ` x ` of the body is motion is given by ` x=A sin (omega t+ theta) , Determine the time at which the displacement is maximum.

Explanation

To determine the time at which the displacement \( x \) is maximum, we start with the given equation of displacement:

\[ x = A \sin(\omega t + \theta) \]

### Step 1: Identify the maximum value of the sine function
The sine function, \( \sin(\theta) \), reaches its maximum value of 1. Therefore, to find when the displacement \( x \) is maximum, we need to set the argument of the sine function to equal \( \frac{\pi}{2} \):
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