A particle of mass m moves on a straight line with its velocity increasing with distance according to the equation v=αx, where α is a constant. The total work done by all the forces applied on the particle during its displacement from x=0 to x=d, will be:
[April 9, 2024 (I)]
(a) 2α2dm
(b) 2α2md
(c) 2mα2d
(d) 2mα2d