Solution 8.1a
From Mechanics
(Difference between revisions)
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Substituting these into the equation | Substituting these into the equation | ||
<math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math> | <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math> | ||
- | gives the velocity of the | + | gives the velocity of the jet-ski at time <math>t=10 \text{ s }</math> as: |
<math>\mathbf{v}=4\mathbf{i}+(0\textrm{.}9\mathbf{i}+0\textrm{.}7\mathbf{j})\times 10</math> | <math>\mathbf{v}=4\mathbf{i}+(0\textrm{.}9\mathbf{i}+0\textrm{.}7\mathbf{j})\times 10</math> | ||
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which gives | which gives | ||
- | <math>\mathbf{v}=13\mathbf{i}+ | + | <math>\mathbf{v}=13\mathbf{i}+7\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}</math> |
Current revision
In this case we have \displaystyle \mathbf{u}=4\mathbf{i} and \displaystyle \mathbf{a}=0\textrm{.}9\mathbf{i}+0\textrm{.}7\mathbf{j}
Substituting these into the equation \displaystyle \mathbf{v}=\mathbf{u}+\mathbf{a}t \ \ gives the velocity of the jet-ski at time \displaystyle t=10 \text{ s } as:
\displaystyle \mathbf{v}=4\mathbf{i}+(0\textrm{.}9\mathbf{i}+0\textrm{.}7\mathbf{j})\times 10
which gives
\displaystyle \mathbf{v}=13\mathbf{i}+7\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}