Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
1 answer:
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Answer:
a) t = 4
b) v = pi j + 5 k
c) rt = 1i + (pi t) j + (20 +5t )k
Step-by-step explanation:
You have the following vector equation for the position of a particle:
(1)
(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.
For a height of 20 you have:
(b) The velocity of the particle is the derivative, in time, of the vector position:
(2)
and for t=4 (height = 20):
(c) The vector parametric equation of the tangent line is given by:
(3)
ro: position of the particle for t=4
Then you replace ro and v in the equation (3):