(1 point) Suppose r() = cos(a) 1 + sin(at)j + 3tk represents the position of a p
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Question
(1 point) Suppose r() = cos(a) 1 + sin(at)j + 3tk represents the position of a particle on a helix, where z is the height of the particle (a) What is t when the particle has height 9? (b) What is the velocity of the particle when its height is 9? v (c) When the particle has height 9, 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. LC) =Explanation / Answer
given r(t)=cos(t)i+sin(t)j +3tk
(a)
height is 9, z is height of particle
=>3t =9
=>t =3
(b)
velocity ,v=r'(t)
v=-sin(t)i+cos(t)j +3k
at height 9 , t=3
velocity ,v=-sin(3)i+cos(3)j +3k
velocity ,v=0i-j +3k
c)
r(3)=cos(3)i+sin(3)j +9k
r(3)=-i+0j +9k
vector parametric equation ,L(t)=(-i+0j +9k)+ (t-3)(0i-j +3k)
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