Particle 1 is subjected to an acceleration a = -kv, particle 2 is subjected to a = -kt,...

Particle 1 is subjected to an acceleration a = -kv, particle 2 is subjected to a = -kt, and particle 3 is subjected to a = -ks. All three particles start at the origin s = 0 with an initial velocity v₀ = 10 m/s at time t = 0 and the magnitude of k is 0.1 for all three particles (note that the units of k vary from case to case). Plot the position, velocity, and acceleration versus time for each particle over the range