2. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by vp(t) = sin(t-5) for 0 ? ?. At time 1 = 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 vo(t) = (t-1.8) 1.25' for 0 ? ?. At time t = 0, particle Q is at position x =

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2. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by vp(t) = sin(t¹-5) for 0 ? ?. At time 1 = 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 vo(t) = (t-1.8) 1.25' for 0 ? ?. 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 St. Write your responses to this question only on the designated pages in the separate Free Response booklet. Write your solution to each part in the space provided for that part.

$A particle, $ P $, is moving along the $ x $-axis. The velocity of particle $ P $ at time $ t $ is given by \( v_{P}($

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