Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_5

2/5 The acceleration of a particle is given by \( a = -ks^2 \), where \( a \) is in meters per second squared, \( k \) is a constant, and \( s \) is in meters. Determine the velocity of the particle as a function of its position \( s \). Evaluate your expression for \( s = 5 \text{ m} \) if \( k = 0.1 \text{ m}^{-1}\text{s}^{-2} \) and the initial conditions at time \( t = 0 \) are \( s_0 = 3 \text{ m} \) and \( v_0 = 10 \text{ m/s} \).