Chapter 12, Problem 166P

The velocity of a particle which moves along the s-axis is given by v=15+214/3 where t is in seconds and vis in meters per second. Evaluate the displacements, velocity v, and acceleration a when t = 5.5 s. The particle is at the origins=0 when t = 0. Answers: At t = 5.5 s, V= a- m m/s m/s²

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At time t = 18 s, the velocity of a particle moving in the x-y plane is v = 0.05i + 2.35j m/s. By time t = 18.05 s, its velocity has become -0.15i + 2.17j m/s. Determine the magnitude day of its average acceleration during this interval and the angle made by the average acceleration with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. Answers: dav = e= m/s² O

Your answer is partially correct. The velocity of a particle moving in the x-y plane is given by (7.70i + 4.91j) m/s at time t = 7.38 s. Its average acceleration during the next 0.029 s is (3.3i + 2.6j) m/s?. Determine the velocity v of the particle at t = 7.409 s and the angle 8 between the average- acceleration vector and the velocity vector at t = 7.409 s. Answers: v = ( 7.7957 i+ 4.9754 j) m/s 5.73

2/3 The velocity of a particle which moves along the s-axis is given by v = 2 + 5t32, where t is in seconds and v is in meters per second. Evaluate the displacement s, velocity v, and acceleration a when t = 4 s. The parti- cle is at the origin s = 0 when t = 0. 214 The velocity of a particle along the s-axis is given by

The y-coordinate of a particle in curvilinear motion is given by y = 41³ – 31, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by a̟ = 12t in./sec². If the ve- locity of the particle in the x-direction is 4 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = l sec.

A particle moves along the curve x = 14y, where x and y are measured in millimeter. The x-coordinate varies with time according to x = 4t2 - 2, mm where time t in seconds. Determine the magnitudes of the velocity and acceleration vectors when t = 2 s.

The velocity of a particle moving in the x-y plane is given by (5.92i +4.07j) m/s at time t = 5.92 s. Its average acceleration during the next 0.019 s is (2.2i + 3.2j) m/s². Determine the velocity v of the particle at t = 5.939 s and the angle 8 between the average- acceleration vector and the velocity vector at t = 5.939 s. Answers: v = (i 0 = wpad i+ IN j) m/s

The velocity of a particle moving in the x-y plane is given by (3.46i +7.64j) m/s at time t = 4.88 s. Its average acceleration during the next 0.030 s is (2.1i + 2.0j) m/s². Determine the velocity v of the particle at t = 4.910 s and the angle between the average- acceleration vector and the velocity vector at t = 4.910 s. Answers: V = (3.523 7.7 j) m/s 0: = i 22.032 O