(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Position Function of a spaceship is

r(t) = (5t+9)i+(2t^{2}-1)j+t^{2}k

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?

2. Relevant equations

r'(t) = v(t)= <5,4t,2t>

and

r''(t) = v'(t)= a(t) <0,4,2>

3. 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;

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# Homework Help: Calc III : Spaceship reaching a space station at constant velocity.

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