#15 a-d only do not do "e" 7on versus timeom one stop toor is halfwayus time curveversus timeP. Using thisn occurs.sus times graph,curs.showing the poseration to two decimal places at times = 1, 2, 3, 4, 5.(b) At each of the times in part (a), determine whether theparticle is stopped; if it is not, state its direction ofmotion.(c) At each of the times in part (a), determine whether theparticle is speeding up, slowing down, or neither.11. s(t) = sinπί412. s(t) = t4e-¹,13-18 The function s (t) describes the position of a particlemoving along a coordinate line, where s is in feet and t is inseconds.(a) Find the velocity and acceleration functions.(b) Find the position, velocity, speed, and acceleration attime t = 1.=(c) At what times is the particle stopped?(d) When is the particle speeding up? Slowing down?(e) Find the total distance traveled by the particle from timet = 0 to time t = 5.13. s(t) = t³ - 3t², t≥014. s(t) = t4 - 4t² +4,15. s(t) = 9-9 сos (лt/3),t≥0t16. s(t)1² +4'onil oleib100mooo @ gmt≥ 0t≥00≤t≤5SU moit se folo17. s(t) = (t² + 8)e-¹/3, t≥01 bas 15,iv18. s(t) = t² — ln(t+1), t≥0+\dor=00019. Let s(t)=1/(t² + 5) be the position function of a particlemoving along a coordinate line, where s is in meters and tis in seconds. Use a graphing utility to generate the graphsof s(t), v(t), and a (t) for t≥ 0, and use those graphs whereneeded.(a) Use the appropriate graph to make a rough estimate ofthe time at which the particle first reverses the directionof its motion; and then find the time exactly.(b) Find the exact position of the particle when it first re-verses the direction of its motion.(c) Use the appropriate graphs to make a rough estimate ofthe time intervals on which the particle is speeding upand on which it is slowing down; and then find thosetime intervals exactly.20. Let s(t) = t/e' be the position function of a particle mov-ate line, where s is in meters and t is in

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#15 a-d only do not do &#34;e&#34; 7on versus timeom one stop toor is halfwayus time curveversus timeP. Using thisn occurs.sus times graph,curs.showing the poseration to two decimal places at times = 1, 2, 3, 4, 5.(b) At each of the times in part (a), determine whether theparticle is stopped; if it is not, state its direction ofmotion.(c) At each of the times in part (a), determine whether theparticle is speeding up, slowing down, or neither.11. s(t) = sinπί412. s(t) = t4e-¹,13-18 The function s (t) describes the position of a particlemoving along a coordinate line, where s is in feet and t is inseconds.(a) Find the velocity and acceleration functions.(b) Find the position, velocity, speed, and acceleration attime t = 1.=(c) At what times is the particle stopped?(d) When is the particle speeding up? Slowing down?(e) Find the total distance traveled by the particle from timet = 0 to time t = 5.13. s(t) = t³ - 3t², t≥014. s(t) = t4 - 4t² +4,15. s(t) = 9-9 сos (лt/3),t≥0t16. s(t)1² +4'onil oleib100mooo @ gmt≥ 0t≥00≤t≤5SU moit se folo17. s(t) = (t² + 8)e-¹/3, t≥01 bas 15,iv18. s(t) = t² — ln(t+1), t≥0+\dor=00019. Let s(t)=1/(t² + 5) be the position function of a particlemoving along a coordinate line, where s is in meters and tis in seconds. Use a graphing utility to generate the graphsof s(t), v(t), and a (t) for t≥ 0, and use those graphs whereneeded.(a) Use the appropriate graph to make a rough estimate ofthe time at which the particle first reverses the directionof its motion; and then find the time exactly.(b) Find the exact position of the particle when it first re-verses the direction of its motion.(c) Use the appropriate graphs to make a rough estimate ofthe time intervals on which the particle is speeding upand on which it is slowing down; and then find thosetime intervals exactly.20. Let s(t) = t/e' be the position function of a particle mov-ate line, where s is in meters and t is in

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15. s(t) = 9-9 сos (лt/3), 0≤t≤5 t 16 s(t) t> 0