3. The spatial motion of a particle is described by X = 3t 2 + 4t y = -4t 2 + 3t Z = -6t + 9 where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the plane formed by v and a is constant.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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3. The spatial motion of a particle is described by
X = 3t 2 + 4t
y = -4t 2 + 3t
Z = -6t +9
where the coordinates are measured in feet and the time t is in seconds. (a) Determine the
velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle
is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit
vector perpendicular to the plane formed by v and a is constant.
Transcribed Image Text:3. The spatial motion of a particle is described by X = 3t 2 + 4t y = -4t 2 + 3t Z = -6t +9 where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the plane formed by v and a is constant.
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