A particle is in motion on the x-axis. The variation ofits velocity with position is as shown. The graph is circle and its equation is `x^(2)+v^(2)=1`, where x is in m and v in m/s. The correct statement(s) is/are:-

Options

A. When x is positive, acceleration is negative.
B. When x is negative, acceleration is positive
C. At Q, acceleration has magnitude `(1)/(sqrt2)m//s^(2)`
D. At S, acceleration is infinite

Answer

A, B, C