7. The position coordinates of a particle are given by x In(1 + 2t), y = 2 cos(tt), and z = tsin(Tnt/2) where x, y,and z are in meters whilet is in seconds. Determine the following quantities: A. Position vector at t-0.0 s and t= 1.0 s B. Distance of the particle from the origin at t=0.0 s and t= 1.0 s C. Average velocity in the time interval t-0.0 s to t=1.0 s %3D

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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7. The position coordinates of a particle are given by x = In(1 + 2t), y = 2 cos(tt),
and z = tsin(Tt/2) where x, y,and z are in meters while t is in seconds. Determine
the following quantities:
A. Position vector at t-0.0s and t= 1.0s
B. Distance of the particle from the origin at t=0.0 s and t= 1.0 s
C. Average velocity in the time interval t-0.0 s to t=1.0 s
D. Instantaneous velocity at time t-0.0 s, and at time t=1.0 s
E. Average acceleration in the time interval t=D0.0 s to t=1.0 s
F. Instantaneous acceleration at time t= 0.0 s, t=0.5 s, and t= 1.0 s
Transcribed Image Text:%3D 7. The position coordinates of a particle are given by x = In(1 + 2t), y = 2 cos(tt), and z = tsin(Tt/2) where x, y,and z are in meters while t is in seconds. Determine the following quantities: A. Position vector at t-0.0s and t= 1.0s B. Distance of the particle from the origin at t=0.0 s and t= 1.0 s C. Average velocity in the time interval t-0.0 s to t=1.0 s D. Instantaneous velocity at time t-0.0 s, and at time t=1.0 s E. Average acceleration in the time interval t=D0.0 s to t=1.0 s F. Instantaneous acceleration at time t= 0.0 s, t=0.5 s, and t= 1.0 s
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