19. Exercises

Förberedande Mekanik

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===Exercise 19.1===
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<div class="ovning">
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The acceleration,
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<math>a</math>
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<math>\text{m}{{\text{s}}^{-2}}</math>, of the cyclist, at time
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<math>t</math>
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seconds is given by:
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<math>a=1-\frac{t}{15}</math>
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for
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<math>0\le t\le 15</math>.
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The cyclist travels along a straight road.
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a) Given that the cyclist starts at rest, find an expression for the velocity cyclist at time <math>t</math>.
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b) What is the speed of the cyclist after 15 seconds?
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c) How far does the cyclist travel in the 15 seconds?
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</div>{{#NAVCONTENT:Answer a|Answer 19.1a|Answer b|Answer 19.1b|Answer c|Answer 19.1c|Solution a|Solution 19.1a|Solution b|Solution 19.1b|Solution c|Solution 19.1c}}

Versionen från 19 november 2009 kl. 16.52

       Theory          Exercises      


Exercise 19.1

The acceleration, \displaystyle a \displaystyle \text{m}{{\text{s}}^{-2}}, of the cyclist, at time \displaystyle t seconds is given by: \displaystyle a=1-\frac{t}{15} for \displaystyle 0\le t\le 15.

The cyclist travels along a straight road.

a) Given that the cyclist starts at rest, find an expression for the velocity cyclist at time \displaystyle t.

b) What is the speed of the cyclist after 15 seconds?

c) How far does the cyclist travel in the 15 seconds?


Answer a
Answer 19.1a
Answer b
Answer 19.1b
Answer c
Answer 19.1c
Solution a
Solution 19.1a
Solution b
Solution 19.1b
Solution c
Solution 19.1c
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