- #1
mimzy
- 6
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Homework Statement
The Position Function of a spaceship is
r(t) = (5t+9)i+(2t2-1)j+t2k
and the coordinates of a space station are P(54,89,45). The captain wants the spaceship to reach the space station in constant velocity. When should the engines be turned off?
Homework Equations
r'(t) = v(t)= <5,4t,2t>
and
r''(t) = v'(t)= a(t) <0,4,2>
The Attempt at a Solution
I have tried to use the dot product of a(t) * [P-v(t)] but that doesn't work :l I also thought of finding the angle of the tangent vector that shots towards P in order to find the time but I end up confusing myself afterwards D;