Chapter 12, Problem 141P

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 x-coordinate of a particle in curvilinear motion is given by x = 3.8t3 - 3.9t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.7t. If the particle has y-components y = 0 and vy = 4.6 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.3 sec. Sketch the path for the first 3.3 seconds of motion, and show the velocity and acceleration vectors for t = 3.3 sec.

The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.Answers:

The y-coordinate of a particle in curvilinear motion is given by y = 2.0t3 - 8.1t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 2.4t in./sec2. If the velocity of the particle in the x-direction is 5.0 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.4 sec. Construct v and a in your solution.Answers: When t = 2.4 sec,

The x-coordinate of a particle in curvilinear motion is given by x - 4.8t3-2.7t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.9t. If the particle has y-components y = 0 and vy = 3.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 4.8 sec. Sketch the path for the first 4.8 seconds of motion, and show the velocity and acceleration vectors for t = 4.8 sec. Answers: V= a= i i ! ft/sec ft/sec²

The y-coordinate of a particle in curvilinear motion is given by y = 9.0t³ - 13.3t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 4.3t in./sec². If the velocity of the particle in the x-direction is 12.1 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 3.2 sec. Construct v and a in your solution. Answers: When t = 3.2 sec, V = i in./sec a = in./sec² Mo

The x-coordinate of a particle in curvilinear motion is given by x = 5.1t3 - 5.3t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.5t. If the particle has y-components y = 0 and vy = 4.5 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 2.8 sec. Sketch the path for the first 2.8 seconds of motion, and show the velocity and acceleration vectors for t = 2.8 sec.

The y-coordinate of a particle in curvilinear motion is given by y = 11.6t3 - 9.1t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 7.0t in./sec2. If the velocity of the particle in the x-direction is 8.3 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.0 sec. Construct v and a in your solution. a. v in inch / sec b. a in inch / sec2

The y-coordinate of a particle in curvilinear motion is given by y = 9.6t3 - 7.7t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 2.3t in./sec2. If the velocity of the particle in the x-direction is 4.5 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.0 sec. Construct v and a in your solution.Answers: When t = 2.0 sec,