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## Homework Statement

Say for example, a particles velocity was given by the following equation:

[itex]\vec{V}[/itex](t) = (2t

^{2}-4t

^{3})[itex]\hat{i}[/itex] - (6t +3)[itex]\hat{j}[/itex] + 6[itex]\hat{k}[/itex]

If I wanted to find the displacement of the particle between t=1s and t=3s, could I just integrate like this?

[itex]\int \vec{V}[/itex]= (2t

^{3}/3 - t^4)[itex]\hat{i}[/itex] - (3t

^{2}+3t)[itex]\hat{j}[/itex] + 6t [itex]\hat{k}[/itex] evaluated between 1.00 and 3.00

= (-63i)-36j + 18k)-(2/3-1)i+(6j)-6k= -63.3i - 30j + 12k.

Is this the correct way to do this?

## Homework Statement

N/A

## Homework Equations

N/A

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