Solution 8.4c
From Mechanics
(Difference between revisions)
(New page: We have <math>\mathbf{a}=4\mathbf{i}– 8\mathbf{j},\ \</math> <math>\mathbf{u}=4\mathbf{i}– 8\mathbf{j}\ \</math> and <math>\ \ \mathbf{ r}_{0}=6\mathbf{i}+2\mathbf{j}</math>. The ...) |
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| - | We have <math>\mathbf{a}= | + | We have <math>\mathbf{a}=0\textrm{.}2\mathbf{i}+0\textrm{.}3\mathbf{j},\ \</math> <math>\mathbf{u}=4\mathbf{i}– 8\mathbf{j}\ \</math> and <math>\ \ \mathbf{ r}_{0}=6\mathbf{i}+2\mathbf{j}</math>. |
The most suitable equation to use is <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t\ \</math>. | The most suitable equation to use is <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t\ \</math>. | ||
| - | Substituting the above values gives a vector | + | Substituting the above values gives a vector equation for <math>t</math>. |
| - | <math>4\textrm{.}8\mathbf{i}-6\textrm{.}8\mathbf{j}= | + | <math>4\textrm{.}8\mathbf{i}-6\textrm{.}8\mathbf{j}=0\textrm{.}2\mathbf{i}+0\textrm{.}3\mathbf{j}+(4\mathbf{i}– 8\mathbf{j})t\ \</math> |
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| + | 0r <math>4\textrm{.}8\mathbf{i}-6\textrm{.}8\mathbf{j}=(4t+0\textrm{.}2\ )\mathbf{i}– (8t+0\textrm{.}3\ )\mathbf{j}\ \</math> | ||
Revision as of 16:38, 13 April 2010
We have \displaystyle \mathbf{a}=0\textrm{.}2\mathbf{i}+0\textrm{.}3\mathbf{j},\ \ \displaystyle \mathbf{u}=4\mathbf{i}– 8\mathbf{j}\ \ and \displaystyle \ \ \mathbf{ r}_{0}=6\mathbf{i}+2\mathbf{j}.
The most suitable equation to use is \displaystyle \mathbf{v}=\mathbf{u}+\mathbf{a}t\ \.
Substituting the above values gives a vector equation for \displaystyle t.
\displaystyle 4\textrm{.}8\mathbf{i}-6\textrm{.}8\mathbf{j}=0\textrm{.}2\mathbf{i}+0\textrm{.}3\mathbf{j}+(4\mathbf{i}– 8\mathbf{j})t\ \
0r \displaystyle 4\textrm{.}8\mathbf{i}-6\textrm{.}8\mathbf{j}=(4t+0\textrm{.}2\ )\mathbf{i}– (8t+0\textrm{.}3\ )\mathbf{j}\ \
