6. Exercises

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a) 0.65 <math>\text{m}{{\text{s}}^{-2}}</math>
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| style="border-bottom:1px solid #797979" width="5px" | &nbsp;
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{{Not selected tab|[[6. Kinematics in one dimension|Theory]]}}
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{{Selected tab|[[6. Exercises|Exercises]]}}
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===Exercise 6.1===
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b) 250 m
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<div class="ovning">
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The graph shows how the velocity of a van changes during a short journey. Find the distance travelled by the van.
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[[Image:E6.1.GIF]]
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</div>{{#NAVCONTENT:Answer|Answer 6.1|Solution|Solution 6.1}}
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===Exercise 6.2===
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<div class="ovning">
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The graph below shows how the velocity of a train changes as it travels along a straight railway line.
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[[Image:E6.2.GIF]]
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a) Find the total distance travelled by the train in the 180 seconds..
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b) Find the acceleration of the train on the first stage of the motion.
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</div>{{#NAVCONTENT:Answer|Answer 6.2|Solution a|Solution 6.2a|Solution b|Solution 6.2b}}
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===Exercise 6.3===
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<div class="ovning">
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The diagram shows a velocity-time graph for a lift.
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[[Image:E6.3.GIF]]
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a) Find the total distance travelled by the lift.
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b) Calculate the acceleration of the lift during the last 2 seconds.
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c) At what times is the speed of the lift 1 <math>\text{m}{{\text{s}}^{-1}}</math>?
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</div>{{#NAVCONTENT:Answer a|Answer 6.3a|Answer b|Answer 6.3b|Answer c|Answer 6.3c|Solution a|Solution 6.3a|Solution b|Solution 6.3b|Solution c|Solution 6.3c}}
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===Exercise 6.4===
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<div class="ovning">
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As a train travels 500 m its speed increases from 5 <math>\text{m}{{\text{s}}^{-1}}</math> to 15 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that its acceleration is constant.
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a) Find the acceleration of the train.
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b) Find the time it takes the train to travel this distance.
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</div>{{#NAVCONTENT:Answer|Answer 6.4|Solution a|Solution 6.4a|Solution b|Solution 6.4b}}
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===Exercise 6.5===
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<div class="ovning">
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A cyclist accelerates at 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> from rest for 10 seconds, as she travels along a straight line.
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a) Find the distance travelled by the cyclist during the 10 seconds and the speed that she reaches at the end of this period of time.
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b) After the 10 seconds her acceleration changes to 0.2 <math>\text{m}{{\text{s}}^{-2}}</math> and then remains constant for a further 5 seconds. Find the speed of the cyclist and the total distance that she has travelled at the end of the 15 seconds.
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</div>{{#NAVCONTENT:Answer|Answer 6.5|Solution a|Solution 6.5a|Solution b|Solution 6.5b}}
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===Exercise 6.6===
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<div class="ovning">
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As a van travels along a straight road its speed increases from 9 <math>\text{m}{{\text{s}}^{-1}}</math> to 24 <math>\text{m}{{\text{s}}^{-1}}</math> as it travels 495 m.
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a) Find the acceleration of the van.
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b) Find the time taken by the van to travel the 495 m.
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</div>{{#NAVCONTENT:Answer|Answer 6.6|Solution a|Solution 6.6a|Solution b|Solution 6.6b}}
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Revision as of 13:36, 11 September 2009

a) 0.65 \displaystyle \text{m}{{\text{s}}^{-2}}

b) 250 m

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