Example 4.2. A point moves with simple harmonic motion. When this point is 0.75 metre from the mid path, its velocity is \( 11 \mathrm{~m} / \mathrm{s} \) and when 2 metres from the centre of its path its velocity is \( 3 \mathrm{~m} / \mathrm{s} \). Find its angular velocity, periodic time and its maximum acceleration.