A particle having mass m is released from rest from origin in gravity free space. A force F = F_0 k + v b j ….

Q: A particle having mass m is released from rest from origin in gravity free space. A force F = F₀ k + v b j , where b is positive constant and v is instantaneous velocity of the particle, starts to act on the particle at t = 0. Find speed of the particle as a function of Z – coordinate.

(a) $\sqrt{\frac{F_0 z}{m}}$

(b) $\sqrt{\frac{2 F_0 z}{m}}$

(c) $\sqrt{\frac{2 b z}{m}}$

(d) $\sqrt{\frac{F_0 z}{m b}}$