In what time after its motion began, will a particle oscillating according to the equation x = 7 sin `(0.5 pit)` move from the mean position to the maximum displacement ?

Explanation

To solve the problem, we need to determine the time it takes for a particle oscillating according to the equation \( x = 7 \sin(0.5 \pi t) \) to move from the mean position (where \( x = 0 \)) to the maximum displacement (where \( x = 7 \)).

### Step-by-Step Solution:

1. **Identify the parameters from the equation**:
The equation of motion is given as:
\[
x = 7 \sin(0.5 \pi t)
...