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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 paricle over the range 0<=t<=10 s.
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