A magnetic field `B = B_(0) (y//a)(hat)k` is into the paper in the +z direction, `B_(0)` and a are positive constants. A square loop EFGH of side a, mass m and resistance R, in x-y plane, starts falling under the influence of gravity see figure. Note the direction of x and y axis in figure.

Find
(a) the induced current in the loop and indicate its direction.
(b) the total Lorentz force acting on the loop and indicate its direction, and
(c) an expression for the speed of the loop, v(t) and its terminal value.