The position of a particle moving along the x axis may be determined from the expression x(t) = bt + ct2, where b3.20 m/s, c = 2.00 m/s?, and x will be in meters when t is in seconds.(a) Which of the following is the correct expression for the position of the particle at the time t + At?x(t + At) = bt + bAtX(t + Δt)= bt + bAtct2 – 2ctAt – c(At)2|x(t + Δt)= ct + cAt + bt? + 2btAt + b(At)?x(t + Δt)= bt + bAt + ct2 + 2ctAt + c(At)2x(t + Δt)ct2 + 2ctAt + c(At)²(b) Which of the following is the correct expression for the displacement of the particle between the time t and t + At?Ax(t -→ t + At) = bt + 2ctAtcAtAx(t → t + At) = bAt + 2ctAt – c(At)?-O Ax(t →t + At) = btAt + 2ctAt + cAtAx(t → t + At) = bAt + 2cAt + 2c(At)2Ax(t →t + At) = bAt + 2ctAt + c(At)²(c) Which of the following is the correct expression for the limit of Ax/At as At approaches zero?Axlim= bt + 2ctAt →0 AtAx= bt + ctlimAt →0 AtAxb + 2climAt →0 AtAx= b + 2ctlimAt →0 AtДх= b + ctlimAt →0 At(d) Determine the instantaneous velocity of the particle at the time t = 2.00 s.m/sO O O O O

Name: The position of a particle moving along the x axis may be determined
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: The position of a particle moving along the x axis may be determined from the expression x(t) = bt + ct2, where b3.20 m/s, c = 2.00 m/s?, and x will be in meters when t is in seconds.(a) Which of the following is the correct expression for the posit