The position of a particle moving along the x axis may be determined from the expression x(t) = bt + ct?, where b = 3.20 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 + bAt O x(t + At) = bt + bAt – ct² – 2ctat – c(At)? x(t + At) = ct + cAt + bt2 + 2btat + b(At)2 O x(t + At) = bt + bAt + ct2 + 2ctAt + c(At)2 x(t + At) = ct² + 2ctAt + c(At)? (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+ AAt) = bt + 2ctAt – cAt O Ax(t t+ At) = bat + 2ctAt - c(At)? Ax(t t + At) = btat + 2ctAt + cAt Ax(t t + At) = bAt + 2cAt + 2c(At)? O Ax(t -t + At) = bAt + 2ctAt + C(At)? (c) Which of the following is the correct expression for the limit of Ax/At as At approaches zero? Ax = bt + 2ct lim At-0 At lim AX = bt + ct At0 At Дх = b + 2c lim At -0 At Ax = b + 2ct lim At-0 At Дх = b + ct lim At-0 At (d) Determine the instantaneous velocity of the particle at the time t = 2.00 s. m/s

The position of a particle moving along the x axis may be determined from the expression x(t) = bt + ct?, where b = 3.20 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 + bAt O x(t + At) = bt + bAt – ct² – 2ctat – c(At)? x(t + At) = ct + cAt + bt2 + 2btat + b(At)2 O x(t + At) = bt + bAt + ct2 + 2ctAt + c(At)2 x(t + At) = ct² + 2ctAt + c(At)? (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+ AAt) = bt + 2ctAt – cAt O Ax(t t+ At) = bat + 2ctAt - c(At)? Ax(t t + At) = btat + 2ctAt + cAt Ax(t t + At) = bAt + 2cAt + 2c(At)? O Ax(t -t + At) = bAt + 2ctAt + C(At)? (c) Which of the following is the correct expression for the limit of Ax/At as At approaches zero? Ax = bt + 2ct lim At-0 At lim AX = bt + ct At0 At Дх = b + 2c lim At -0 At Ax = b + 2ct lim At-0 At Дх = b + ct lim At-0 At (d) Determine the instantaneous velocity of the particle at the time t = 2.00 s. m/s

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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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 6P: The position of a particle moving along the x axis varies in time according to the expression x =...

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