3. please solve it on paper only part c is incorrect Suppose r(t) = cos(πt)i + sin(πt)j + 3tk represents the position of a particle on a helix, where z is the heightof the particle.(a) What is t when the particle has height 6?t= 2(b) What is the velocity of the particle when its height is 6?<0, pi, 3>=(c) When the particle has height 6, it leaves the helix and moves along the tangent line at the constant velocityfound in part (b). Find a vector parametric equation for the position of the particle (in terms of the originalparameter t) as it moves along this tangent line.L(t) = i i +(pit)j + (6 + 3t ) k

To find the tangent path at t=2.

(a) What is t when the particle has height 6? t = 2 (b) What is the velocity of the particle when its height is 6? v = <0, pi, 3> (c) When the particle has height 6, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line. L(t) = i +(pit)j + (6 + 3t) k

(a) What is t when the particle has height 6? t = 2 (b) What is the velocity of the particle when its height is 6? v = <0, pi, 3> (c) When the particle has height 6, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line. L(t) = i +(pit)j + (6 + 3t) k

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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