(2) In R, A point mass M moves with the velocity v (t) = (1, t...

  

 

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(2) In R³, A point mass M₁ moves with the velocity v₁ (t) = (1, t cost, tsin t) and the original position r₁(0)= (-1,1,0). Another point mass M₂ has the position function r₂(t) = (t², 2 cost, 2 sin t). (a) Compute ri(t), the position function of M₁. (b) Denote L1(s) and L2(s) be the distance traveled by M₁ and M₂ from t = 0 tot = s respectively. Find L2 (2019)/L₁ (2019). (2) In R³, A point mass M₁ moves with the velocity v₁ (t) = (1, t cost, tsin t) and the original position r₁(0)= (-1,1,0). Another point mass M₂ has the position function r₂(t) = (t², 2 cost, 2 sin t). (a) Compute ri(t), the position function of M₁. (b) Denote L1(s) and L2(s) be the distance traveled by M₁ and M₂ from t = 0 tot = s respectively. Find L2 (2019)/L₁ (2019).

Answer rating: 100% (QA)

Ls is just the magnitude of the radius vector rt at ts In part a to find rt from v t we use ... View the full answer