Learn uniform motion definition with calculate of average velocity and speed including distance & displacement.
Note :- For speed to be constant, equal distance should be covered in equal interval of time.
A Uniform motion
B Non-uniform motion
C Can't be determined
D Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 161]
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$str = '<h1><strong>Identification of Uniform Motion</strong> </h1>
<ul>
<li>A body is said to be in uniform motion if its direction of motion and speed remains unchanged during a given time interval. </li>
<li>For one Dimensional motion, a particle is said to be in uniform motion if it keeps on moving either in positive or negative direction with same speed,i.e., it covers equal distance in equal interval of time. </li>
</ul>
<p><strong>Note :-</strong> For speed to be constant, equal distance should be covered in equal interval of time. </p>
<ul>
<li>Check whether the direction is constant throughout the motion.</li>
<li>Check whether the speed is constant throughout the motion. </li>
<li>If both are constant then motion is uniform.</li>
<li>If any of the two is not constant then motion is non-uniform.</li>
</ul>
'
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include - APP/View/Elements/theorypage.ctp, line 161
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::_renderElement() - CORE/Cake/View/View.php, line 1195
View::element() - CORE/Cake/View/View.php, line 412
include - APP/View/Students/subject.ctp, line 10
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::render() - CORE/Cake/View/View.php, line 466
Controller::render() - CORE/Cake/Controller/Controller.php, line 952
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
[main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 165]Code Context
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the motion. </li> <li>If both are constant then motion is uniform.</li> <li>If any of the two is not constant then motion is non-uniform.</li> </ul> ' $pos = (int) 0 $pos2 = (int) 59 $header = '<h1><strong>Identification of Uniform Motion</strong> 'include - APP/View/Elements/theorypage.ctp, line 165 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Direction of motion is in positive \(x\)- direction and it is same throughout the motion.
Speed of the particle is constant throughout the motion and is equal to 5 m/s.
Since, the direction of motion and the speed, are constant throughout the motion does motion is uniform.
Uniform motion
.Non-uniform motion
Can't be determined
?>
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), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 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the motion. </li> <li>If both are constant then motion is uniform.</li> <li>If any of the two is not constant then motion is non-uniform.</li> </ul> ' $pos = (int) 0 $pos2 = (int) 59 $header = '<h1><strong>Identification of Uniform Motion</strong> ' $m = (int) 3 $correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 285 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 289]Code Context
<?php
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the motion. </li> <li>If both are constant then motion is uniform.</li> <li>If any of the two is not constant then motion is non-uniform.</li> </ul> ' $pos = (int) 0 $pos2 = (int) 59 $header = '<h1><strong>Identification of Uniform Motion</strong> ' $m = (int) 3 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 289 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
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'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '62', 'chapter_id' => '15', 'parent_id' => '57', 'name' => 'Uniform Velocity', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => null, 'position' => '2', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ) ) $description = 'Learn uniform motion definition with calculate of average velocity and speed including distance & displacement.' $SubtopicName = 'uniform velocity' $subject = 'College Physics 1' $subjectUrl = 'college-physics-1' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum 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), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 0 $j = (int) 1 $str = '<h1><strong>Identification of Uniform Motion</strong> </h1> <ul> <li>A body is said to be in uniform motion if its direction of motion and speed remains unchanged during a given time interval. </li> <li>For one Dimensional motion, a particle is said to be in uniform motion if it keeps on moving either in positive or negative direction with same speed,i.e., it covers equal distance in equal interval of time. </li> </ul> <p><strong>Note :-</strong> For speed to be constant, equal distance should be covered in equal interval of time. </p> <ul> <li>Check whether the direction is constant throughout the motion.</li> <li>Check whether the speed is constant throughout the motion. </li> <li>If both are constant then motion is uniform.</li> <li>If any of the two is not constant then motion is non-uniform.</li> </ul> ' $pos = (int) 0 $pos2 = (int) 59 $header = '<h1><strong>Identification of Uniform Motion</strong> ' $m = (int) 3 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 296 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Option A is Correct
Now, \(x_f = v_x.t_2\;\;\;\;\;\;\;\;— (1)\)
\(x_i = v_x. t_1 \;\;\;\;\;\;\;— (2)\)
Subtracts (2) from (1) we get,
\(x_f-x_i = v _x (t_2 - t_1 )\)
or, \(x_f = x_i + v_x (t_2 - t_1)\)
or, \(x_f = x_i + v_x \; \Delta t\)
Note- While solving the problems we can use time interval \((\Delta t)\) directly. It is not necessary to have initial and final values of time.
A – 8 m
B – 10 m
C 10 m
D 5 m
Initial position at time \(t_1\)
\(x_i = - 2\; m\)
Velocity \( = - 3 \; m/s\)
Final position at time \(t_2\)
\(x_f = x_i + v_x (t_2 - t_1)\)
\(x_f = - 2 + (-3) (2)\)
\(x_f = - 8 \; m\)
– 8 m
.– 10 m
10 m
5 m
Option A is Correct
\(v_{avg} = \dfrac{\Delta x}{\Delta t}\)
\(v_{avg} = \dfrac{\text{Total displacement}}{\text{Total time}}\)
\(v_{avg} = \dfrac{x_2 - x_1}{t_2 - t_1}\)
Average velocity,
\(v_{avg} = \dfrac{x_2 - x_1}{t_2 - t_1}\)
A – 6 m/s
B – 8 m/s
C – 10 m/s
D – 15 m/s
Initial position at \(t_i= 0\; sec\)
\(x_i = 3 \; m\)
Final position at \(t_f = 3\; sec\)
\(x_f = - 15 \; m\)
Time interval \(\Delta t = t_f - t_i = 3 \; sec\)
Average velocity,
\(v_{avg} = \dfrac{\Delta x}{\Delta t} = \dfrac{x_f-x_i}{t_f - t_i}\)
\(v_{avg} = \dfrac{-15 - 3}{3} = -6 \; m/s\)
– 6 m/s
.– 8 m/s
– 10 m/s
– 15 m/s
Option A is Correct
A 5 m/s
B 6 m/s
C – 4.28 m/s
D 7 m/s
Velocity for first \(2 \;sec\)
\( = 5\; m/s\)
Velocity for next \(5\ sec\)
\( = - 8\; m/s\)
Total time interval
\( = t_ 1 +t_2 = 7 \; sec\)
Total displacement \((\Delta x)\)
\(=v_1 \; t_1 + v_2 \; t_2 \)
\( =\; 5\; (2) + (-8) \; (5)\)
\( = - 30 \; m\)
Average velocity \((v_{avg})\)
\(= \dfrac{\Delta x}{\Delta t} = \dfrac{-30}{7}\)
\( = - 4.28 \; m/s\)
5 m/s
.6 m/s
– 4.28 m/s
7 m/s
Option C is Correct
Displacement \(\Delta x_1\) in first \(t_1 \; sec = v_1 \; t_1\)
Displacement \(\Delta x_2\) in next \(t_2 \; sec = v_2 \; t_2\)
Total displacement during \((t_1 + t_2 )\) sec
\( = v_1 \; t_1 + v_2 \; t_2 \)
A – 30 m
B – 25 m
C – 35 m
D 40 m
Displacement in first \(5 \; sec\)
\(\Delta x_1 = 5 × 3\)
\(\Delta x_1 = 15 \; m\)
Displacement in next \(5 \; sec\)
\(\Delta x_2 = 5 ×(-8)\)
\(\Delta x_2 = - 40 \; m\)
Total displacement \((\Delta x)\)
\(\Delta x = \Delta x_1 + \Delta x_2\)
\(\Delta x = 15 - 40\)
\(\Delta x = - 25 \; m\)
– 30 m
.– 25 m
– 35 m
40 m
Option B is Correct
\(t_1 = \dfrac{s_1}{v_1}\)
\(t_2 = \dfrac{s_2}{v_2}\)
\(=\dfrac{s_1}{v_1} + \dfrac{s_2}{v_2}\)
A 8 sec
B 10 sec
C 9 sec
D 1 sec
Distance covered with speed \(5\; m/s\)
\( = 25 \; m\)
Time taken to cover \(25 \; m\)
\(= \dfrac{25}{5} = 5 \; sec\)
Distance covered with speed \(8 \; m/s\)
\( = 24 \; m\)
Time taken to cover \(24 \; m\)
\( = \dfrac{24}{8} = 3 \; sec\)
Total time of journey = \( 5 +3 = 8 \; sec\)
8 sec
.10 sec
9 sec
1 sec
Option A is Correct
\(t_1=\dfrac{s_1}{v_1}\)
\(t_2=\dfrac{s_2}{v_2}\)
\( = \dfrac{s_1 + s_2}{\dfrac{s_1}{v_1} + \dfrac{s_2}{v_2}}\)
A \(\dfrac{20}{3}\; m/s\)
B \(90\; m/s\)
C \(\dfrac{100}{3}\; m/s\)
D \(\dfrac{60}{3}\; m/s\)
Let the total distance covered by Tara is \(x\; m\) .
Time taken to cover one third of journey
\( = t_1 = \dfrac{\dfrac{x}{3}}{25} = \dfrac{x}{75}\; sec\)
Time taken to cover two third of her journey
\( = t_2 = \dfrac{\dfrac{2}{3}\; x}{40} = \dfrac{x}{60} \; sec\)
\(\text{Average speed of Tara}=\dfrac{\text{Total distance }}{\text{Total time }}\)
\( = \dfrac{x}{\dfrac{x}{75} + \dfrac{x}{60}} = \dfrac{100}{3} \; m/s\)
\(\dfrac{20}{3}\; m/s\)
.\(90\; m/s\)
\(\dfrac{100}{3}\; m/s\)
\(\dfrac{60}{3}\; m/s\)
Option C is Correct
\(t_1=\dfrac{s_1}{v_1}\)
\(t_2=\dfrac{s_2}{v_2}\)
\( = \dfrac{s_1 + s_2}{\dfrac{s_1}{v_1} + \dfrac{s_2}{v_2}}\)
A 20 m/s
B 30 m/s
C 40 m/s
D 50 m/s
Given,
\(s_1 = 200 \; m, \;\;\;s_2 = 250 \; m\)
Time taken to cover first \(200 \; m\)
\(t_1 = \dfrac{200}{40} = 5\; sec\)
Time taken to cover next \(250 \; m\)
\( t_2 = \dfrac{250}{25} = 10 \; sec\)
\(\text{Average speed } = \dfrac{\text{Total distance }}{\text{Total time}} = \dfrac{s_1 + s_2 }{t_1 +t_2}\)
Average speed = \(\dfrac{250 + 200}{ 15}\)
= \( 30 \; m/s\)
20 m/s
.30 m/s
40 m/s
50 m/s
Option B is Correct