Warning: jsMath requires JavaScript to process the mathematics on this page.
If your browser supports JavaScript, be sure it is enabled.

View source

From Mechanics

for 19. Exercises

Jump to: navigation, search

The action you have requested is limited to users in one of the groups Sysops, approved.

You can view and copy the source of this page:

__NOTOC__
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
| style="border-bottom:1px solid #797979" width="5px" | &nbsp;
{{Not selected tab|[[19. Variable acceleration II|Theory]]}}
{{Selected tab|[[19. Exercises|Exercises]]}}
| style="border-bottom:1px solid #797979"  width="100%"| &nbsp;
|}


===Exercise 19.1===
<div class="ovning">

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

The cyclist travels along a straight road.

a) Given that the cyclist starts at rest, find an expression for the velocity cyclist at time  <math>t</math>.

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

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

</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}}


===Exercise 19.2===
<div class="ovning">

The acceleration, <math>a</math>
<math>\text{m}{{\text{s}}^{-2}}</math>, at time <math>t</math>
seconds of a particle, which moves along a straight line, is given by: 
	
<math>a=\frac{t}{25}</math>
.

a) Given that the initial velocity of the particle is 2 <math>\text{m}{{\text{s}}^{-1}}</math>, find an expression for the velocity of the particle.

b) Find the distance that the particle travels in the first 50 seconds of its motion.


</div>{{#NAVCONTENT:Answer a|Answer 19.2a|Answer b|Answer 19.2b|Solution a|Solution 19.2a|Solution b|Solution 19.2b}}


===Exercise 19.3===
<div class="ovning">

A dragster starts at rest and experiences an acceleration that decreases uniformly from 8  <math>\text{m}{{\text{s}}^{-2}}</math>  to zero over a period of 10 seconds. It moves along a straight race track.

a) Show that at time <math>t</math>
seconds the acceleration, <math>a</math>
<math>\text{m}{{\text{s}}^{-2}}</math>
is given by:

<math>a=8-\frac{8t}{10}</math>.

b) Find the speed of the dragster when it stops accelerating at the end of the 10 seconds.

c) Find the distance that the dragster travels in the 10 seconds.



</div>{{#NAVCONTENT:Answer b|Answer 19.3b|Answer c|Answer 19.3c|Solution a|Solution 19.3a|Solution b|Solution 19.3b|Solution c|Solution 19.3c}}

Templates used on this page:

Return to Main Page.

Retrieved from "http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php/19._Exercises"

Practice tests

Search

View source

From Mechanics