Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_6

2/6 The acceleration of a particle is given by \( a = c_1 + c_2 v \), where \( a \) is in millimeters per second squared, the velocity \( v \) is in millimeters per second, and \( c_1 \) and \( c_2 \) are constants. If the particle position and velocity at \( t = 0 \) are \( s_0 \) and \( v_0 \), respectively, determine expressions for the position \( s \) of the particle in terms of the velocity \( v \) and time \( t \).