Find Position, Velocity and Acceleration VectorsFind the position vector for a particle with acceleration, initial velocity, and initial position givenbelow.a(t) (3t, 4 sin(t), cos(5t))v(0) = (2, — 5, — 4)ř(0) = ( − 1, − 3, − 1)=r(t):=

Concept: The formulas used v(t)=∫a(t)dtr(t)=∫v(t) Also the integration of xn is ∫xn=xn+1n+1+C Where…

Answered: Find Position, Velocity and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 36E

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Find Position, Velocity and Acceleration Vectors Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (3t, 4 sin(t), cos(5t)) (0) (2, 5, 4) (-1, -3, -1) (0) = = - -