Chapter 12, Problem 156P

A particle in an experimental apparatus has a velocity given by v = k√s, where v is in millimeters per second, the position s is millimeters, and the constant k = 0.36 mm ¹/25-¹1. If the particle has a velocity vo = 6 mm/s at t = 0, determine the particle position, velocity, and acceleration as functions of time. To check your work, evalutate the time t, the positions, and the acceleration a of the particle when the velocity reaches 35 mm/s. Answers: t = i S= i a = i S mm mm/s²

The rectangular coordinates of a particle which moves with curvilinear motion are given by x= 10.00t+1.00t² - 0.55+³ and y = 6.32 + 10.10t - 2.22t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 8 s. Also, determine the first time that the velocity of the particle makes an angle of 18° with the positive x-axis. Answers: V = a = (i t = tel it i i+i S j) mm/s j) mm/s²

The velocity of a particle along the s-axis is given by v = 13s/8 where s is in millimeters and v is in millimeters per second. Determine the acceleration when s is 5.0 millimeters. Answer: a = i mm/s?