8. Exercises

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===Exercise 8.1===
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The acceleration of a jet-ski is (<math>0.9\mathbf{i}+0.7\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-2}}</math>. Its initial velocity is 4<math>\mathbf{i}</math> <math>\text{m}{{\text{s}}^{-1}}</math> and its initial position is (<math>400\mathbf{i}+350\mathbf{j}</math>) m. The unit vectors are directed east and north respectively.
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a) Find the velocity of the jet-ski when t = 10 seconds.
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b) Find the position of the jet-ski when t = 10 seconds.
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</div>{{#NAVCONTENT:Answer|Answer 8.1|Solution a|Solution 8.1a|Solution b|Solution 8.1b}}

Revision as of 15:37, 12 September 2009

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Exercise 8.1


The acceleration of a jet-ski is (\displaystyle 0.9\mathbf{i}+0.7\mathbf{j}) \displaystyle \text{m}{{\text{s}}^{-2}}. Its initial velocity is 4\displaystyle \mathbf{i} \displaystyle \text{m}{{\text{s}}^{-1}} and its initial position is (\displaystyle 400\mathbf{i}+350\mathbf{j}) m. The unit vectors are directed east and north respectively.

a) Find the velocity of the jet-ski when t = 10 seconds.

b) Find the position of the jet-ski when t = 10 seconds.