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A force of constant magnitude \( F \) acts on a particle (mass \( m \) ) moving in a plane such that it is always perpendicular to the velocity \( \vec{v}(|\vec{v}|=v) \) of the body. Select the correct option(s).
(1) The time taken by the particle to cover a distance \( S \) is \( (t=S / v) \)
(2) The angle turned by the velocity vector of the particle during a distance \( S \) is \( \left(\frac{F S}{m v^{2}}\right) \).
(3) The magnitude of change in velocity vector during the time \( t \) is \( 2 v \sin \left(\frac{F t}{m v}\right) \).
(4) The magnitude of change in velocity vector during the time \( t \) is \( 2 v \sin \left(\frac{F t}{2 m v}\right) \).
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