A particle moves in the plane xy with constant acceleration 'a' directed along the negative y-axis. The equation of motion of the particle has the form `y= px - qx^2` where p and q are positive constants. Find the velocity of the particle at the origin of co-ordinates.

Options

A. `sqrt([(a(p^(2)+1))/(2q)])`
B. `sqrt([((p^(2)+1))/(q)])`
C. `sqrt([(2a(p^(2)-1))/(q)])`
D. `sqrt([(a(1-p^(2)))/(2q)])`

Answer

A