A particle starts from rest at (0,0,0) at t=0 with velocity vector V=(3t2i-4tj+2t3k)m/s. 5) Find the...

Question

Question

A particle starts from rest at (0,0,0) at t=0

with velocity vector V=(3t²i-4tj+2t³k)m/s.

5) Find the equation of the osculating plane at t=4s in Cartesian coordinates

science physics

Answer 1

Answer #1

v = (3t^2i - 4tj + 2t^3k)

ds/dt = (3t^2i - 4t j + 2t^3 k)

integration both sides we have

s(t) = t^3i - 2t^2j + t^4/2 k

s(4) = 4^3 i - 2*4^2j + 4^4 / 2 k

= 64i - 32j + 128k

Answer 2

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