The y-coordinate of a particle in curvilinear motionis given by y - 4 - 3t, where y is in inches and t isin seconds. Also, the particle has an acceleration inthe x-direction given by a, - 12t in. /sec. If the ve-locity of the particle in the x-direction is 4 in./secwhen t- 0, calculate the magnitudes of the velocityv and acceleration a of the particle when t 1 sec.Match each item to a choice:Velocity:Acceleration:ChoicesE28.1 in/s2# 13.45 in/s# 34 6 in/s# 15.4 in/s# 24.1 in/s2# 22.8 in/s# 26.8 in/s2

Answered: The y-coord R 10 is given by y - 4 -…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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10(a) The x-coordinate of a particle in curvilinear motion is given by x = 4.4t3 - 4.9t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.9t. If the particle has y-components y = 0 and vy = 3.0 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 6.0 sec. Sketch the path for the first 6.0 seconds of motion, and show the velocity and acceleration vectors for t = 6.0 sec.
5 (a)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.
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 x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. determine: a. v in ft / sec b. a in ft / sec2
The x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. a. determine v in ft / sec b. determine a in ft / sec2
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
Q1. If the speed of the motorcycle is v = V600 – 0.5s? where s is in meters measured from A, determine its tangential velocity, tangential acceleration and normal acceleration when it reaches B. Clearly draw free body diagram and mention velocity and acceleration vectors along with their magnitudes and angles with positive t-axis. Where r=60m and is 30 degrees.
The y-coordinate of a particle in curvilinear motion is given by y = 4.5t3 - 5.9t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 9.6t in./sec2. If the velocity of the particle in the x-direction is 12.9 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.4 sec. Construct v and a in your solution.Answers: When t = 1.4 sec,
At time t = 0, a particle is at rest in the x-y plane at the coordinates (x0, y0) = (9, 0) in. If the particle is then subjected to the acceleration components ax = 0.48 − 0.29t in. /sec2 and ay = 0.11t − 0.02t2 in. /sec2, determine the coordinates of the particle position when t = 6 sec. You might consider plotting the path of the particle during this time period. Ans: (x,y) = ( ___ , ___ ) in.
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