I am a little confused about how exactly vectors are used. For example, if we had the two statements
[itex]\vec{r} = 3\hat{i}t + 4\hat{j}t[/itex]
and
[itex]\vec{r} = \frac{1}{2}\vec{a}t^{2} + \vec{v_{o}}t + \vec{x_{o}}[/itex]
What is the difference between the two equations (assuming they are both true)? I know that one uses unit vectors and one is a kinematic equation, but I just don't understand the difference between the two, as they both seemingly relate the object's position with time. Why use one over the other? If we have unit vectors, why do we have equations like the one below it? If anybody could clear this up, I would appreciate it.
[itex]\vec{r} = 3\hat{i}t + 4\hat{j}t[/itex]
and
[itex]\vec{r} = \frac{1}{2}\vec{a}t^{2} + \vec{v_{o}}t + \vec{x_{o}}[/itex]
What is the difference between the two equations (assuming they are both true)? I know that one uses unit vectors and one is a kinematic equation, but I just don't understand the difference between the two, as they both seemingly relate the object's position with time. Why use one over the other? If we have unit vectors, why do we have equations like the one below it? If anybody could clear this up, I would appreciate it.
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