SOLUTION: I am really having a hard time with this one. Been working on it for nearly 3 hours and cant seem to figure out how to make it work.
Problem: r(t) is the position of a particle
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Question 1036508: I am really having a hard time with this one. Been working on it for nearly 3 hours and cant seem to figure out how to make it work.
Problem: r(t) is the position of a particle in the xy-plane at time t. Find an equation in x and y whose graph is the path of the particle. Then find the particle’s velocity and acceleration vectors at the given value of t.
where
To find the Equation, I first organize it into a set:
[ , ]
Then I just plug in the value of t (ln3)
[ , ]
I then reconstruct the original problem with the new values:
then I change the i / j coordinates to x/y coordinates
-----------------------------
As for velocity and acceleration, so far I have figured it like this:
Velocity:
[ , ]
[ , ]
Acceleration:
[ , ]
Am I taking the derivative correctly? As far as I know, e remains as e, even after the derivative, right?
thanks in advance
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
I think you meant , which is a vector-valued function.
Let and as they were meant to be.
Then after a simple substitution, you should get .
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