Solution 8.9a

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m (New page: Here we use the equation <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t</math> with <math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}...)
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<math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}</math>.
<math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}</math>.
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Also <math>t=20\text{ s}</math>
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Also <math>t=20\text{ s}</math> whichh gives,
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<math>24\mathbf{i}+46\mathbf{j}=4\mathbf{i}+6\mathbf{j}+\mathbf{a} \times 20</math>
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So,
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<math>20\mathbf{a}=20\mathbf{i}+40\mathbf{j}</math>
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giving,
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<math>\mathbf{a}=\mathbf{i}+2\mathbf{j} \text{ m}{{\text{s}}^{\text{-2}}}</math>

Revision as of 15:09, 18 April 2010

Here we use the equation \displaystyle \mathbf{v}=\mathbf{u}+\mathbf{a}t with

\displaystyle \mathbf{u}=4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}} and \displaystyle \mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}.

Also \displaystyle t=20\text{ s} whichh gives,

\displaystyle 24\mathbf{i}+46\mathbf{j}=4\mathbf{i}+6\mathbf{j}+\mathbf{a} \times 20

So,

\displaystyle 20\mathbf{a}=20\mathbf{i}+40\mathbf{j} giving,

\displaystyle \mathbf{a}=\mathbf{i}+2\mathbf{j} \text{ m}{{\text{s}}^{\text{-2}}}

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