Q1) The acceleration of a particle as it moves along a straight line is given by a = (2¢- 1) m/s*, where t is in seconds. If s = I m and v = 2 m/s when ¢ = 0, determine the particle's velocity and position when 7 = 6 s. Also, determine the total distance the particle travels during this time period. Q2) The position of a particle along a straight line is given by s = (1.5f - 13.5¢ + 22.5¢) ft, where t is in seconds. Determine the position, velocity, and acceleration of the particle when t = 6 s and the total distance it travels during the 6-s time interval Q3) The acceleration of a particle traveling along a straight line is a = (8 - 25) m/s’, where s is in meters. I v = 0 at s = 0, determine the velocity of the particle at s = 2 m, and the position of the particle when the velocity is maximum Q4) A particle is moving along a straight line such that its speed is defined as v = ( -4s?) m/s, where s is in meters. If s = 2 m when t = 0, determine the velocity and acceleration as functions of time. Q5) A particle starts from rest and travels along a straight line with an acceleration @ = (30 - 0.2v) ft/S?, where v is in ft/s. Determine the time when the velocity of the particle is v = 30 fi/s
Extracted text: Q1) The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s', where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period. Q2) The position of a particle along a straight line is given by s = (1.5t - 13.5f + 22.5t) ft, where t is in seconds. Determine the position, velocity, and acceleration of the particle when t = 6 s and the total distance it travels during the 6-s time interval. Q3) The acceleration of a particle traveling along a straight line is a = (8 - 2s) m/s', where s is in meters. If v = 0 at s = 0, determine the velocity of the particle at s = 2 m, and the position of the particle when the velocity is maximum. Q4) A particle is moving along a straight line such that its speed is defined as v = (-4s') m/s, where s is in meters. If s = 2 m when t 0, determine the velocity and acceleration as functions of time. Q5) A particle starts from rest and travels along a straight line with an acceleration a = (30 - 0.2v) ft/S', where v is in ft/s. Determine the time when the velocity of the particle is v = 30 ft/s.