Engineering Mechanics Dynamics R.C. Hibbeler 6th edition Solution manual; manual & mathcad December 2015. V0.1 March 2018 V0.2 Made by A.J.P. Schalkwijk 12.1 Rectilinear Kinematics: Continuous Motion Page 7, example 12-1: The car in fig. 12-2 moves in a straight line such that for a short time it's velocity is defined by v=(9t^2 + 2t) ft/s, where t is in seconds. Determine its position and acceleration when t=3s. When t=0, s=0. Page 8, example 12-2: A small particle is fired vertically downward into a fluid medium with an initial velocity of 60m/s. If the projectile experiences a deceleration which is equal to a=(-0.4v^3) m/s^2, where v is measured in m/s, determine the projectile's velocity and position 4s after it is fired. Page 9, example 12-3: A boy tosses a ball in the vertical direction of the side of a cliff, as shown in fig. 12-4. If the initial velocity of the ball is 15m/s upward, and the ball is released 40m from the bottom of the cliff, determine the maximum height Sb reached by the ball and the speed of the ball just before it hits the ground. During the entire time the ball is in motion, it is subjected to a constant downward acceleration of 9.81m/s^2 due to gravity. Neglect the effect of air resistance. Page 10, example 12-4: A metallic particle is subjected to the influence of a magnetic field such that it travels downward through a fluid that extends from plate A to plate B, fig 12-5. If the particle is released from rest at the midpoint C, s=100mm, and the acceleration is measured as a=(4s)m/s^2, where s is in meters, determine the velocity of the particle when it reaches plate B, s=200mm, and the time it needs to travel van C to B. Page 11, example 12-5: A particle moves along a horizontal line such that it's velocity is given by v=(3t^2-6t)m/ s, where t is the time in seconds. If it is initially located at the origin O, determine the distance traveled by the particle during the time interval t=0 to t=3.5, and the particle's average velocity and average speed during this time interval. Page12, problem 12-1: If a particle has an initial velocity of V0=12ft/sec to right, determine its position when t=10s, if a=2ft/sec^2 to the left. Originally s0=0. Page 12, problem 12-2: From approximately what floor of a building must a car be dropped from an at-rest position so that it reaches a speed of 80.7 ft/sec (55 mi/hr) when it hits the ground? Each floor 12ft higher than the one below it. Page 12, problem 12-3: A particle is moving along a straight line such that its position is given by s=(4t-t^2) ft., where t is in seconds. Determine the distance travelled from t=0 to t=5s, the average velocity, and the average speed of the particle during this time interval.