The initial velocity (v) is obtained by differentiating the displacement (S) with respect to time, which gives:
v = dSdt = ddt(3t2 + 5t - 10) = 6t + 5
The initial velocity is the velocity of the particle at time t = 0. Substituting t = 0 into the velocity equation:
v(0) = 6(0) + 5 = 5
Therefore, the initial velocity of the particle is 5 m/s.
