Question: 2. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v_pt=sin t1.5 for 0 ≤ t ≤ π . At time t=0 , particle P is at position x=5. A second particle, Q, also moves along the x-axis. The velocity of particle Q at time t is given by v_Qt=t-1.8 . 1.25t for 0 ≤ t ≤ π . At time t=0 , particle Q is at position x=10. a Find the positions of particles P and Q at time t=1. b Are particles P and Q moving toward each other or away from each other at time t=1 ? Explain your reasoning. c Find the acceleration of particle Q at time t=1 . Is the speed of particle Q increasing or decreasing at time t=1 ? Explain your reasoning. d Find the total distance traveled by particle P over the time interval 0 ≤ t ≤ π .

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