Learn steps to determine the sign of displacement, velocity and acceleration equations. Practice to check a particle, in one dimensional motion & direction of motion at the point velocity & acceleration, gravity convention.
Example-
Note
Step 1
Identify origin. Generally, a starting point is taken as the origin.
Step 2
Assign one direction as positive and other as negative or as given in the question.
Step 3
Draw a figure corresponding to the time when the sign of displacement is to be determined.
(a) If the particle is on the positive side of origin then displacement is positive.
(b) If the particle is on the negative side of origin then displacement is negative.
Note
While determining the sign of displacement disregard the direction in which the body is moving.
A Displacement at B and C are negative and at D and E are positive
B Displacement at B ,C and D are negative and at E is positive
C Displacement at B ,C and D are positive and at E is negative
D Displacement at B , C and E are positive and at D is negative
B, C, and D are on the positive side of origin so, displacements at B, C and D are positive.
E is on negative side of origin, so displacement at E is negative.
Displacement at B and C are negative and at D and E are positive
.Displacement at B ,C and D are negative and at E is positive
Displacement at B ,C and D are positive and at E is negative
Displacement at B , C and E are positive and at D is negative
Option C is Correct
Note: Disregard the location. Just observe the direction in which the particle is moving. If it is moving in the positive direction then positive velocity and if it is moving in the negative direction, then negative velocity.
Steps to check direction of motion at the point
A Velocity is negative at B and positive at D
B Velocity is positive at B and negative at D
C Velocity is positive at both B and D
D Velocity is negative at both B and D
At B, the particle is moving in positive direction, so its velocity at B is positive.
At D, the particle is on the positive side of origin but it is moving towards negative direction, so velocity at D is negative.
Hence, option B is correct.
Velocity is negative at B and positive at D
.Velocity is positive at B and negative at D
Velocity is positive at both B and D
Velocity is negative at both B and D
Option B is Correct
A Velocity is positive, acceleration is negative
B Velocity is negative, acceleration is positive
C Velocity is positive, acceleration is positive
D Velocity is negative, acceleration is negative
Sign of velocity
At B, particle is moving towards C, i.e., in positive direction.
Therefore, velocity is positive at B.
Sign of acceleration
Since, velocity is positive and speed is decreasing, therefore, acceleration is negative at B.
Velocity is positive, acceleration is negative
.Velocity is negative, acceleration is positive
Velocity is positive, acceleration is positive
Velocity is negative, acceleration is negative
Option A is Correct
A Displacement is positive, velocity is negative
B Displacement is negative, velocity is positive
C Displacement is positive, velocity is positive
D Displacement is negative, velocity is negative
Assuming A as origin.
Sign of displacement
Since, B is on positive side of origin so, displacement at B is positive.
Sign of velocity
At B, particle is moving towards A, i.e., in negative direction, therefore, velocity at B is negative.
Displacement is positive, velocity is negative
.Displacement is negative, velocity is positive
Displacement is positive, velocity is positive
Displacement is negative, velocity is negative
Option A is Correct
1. If velocity is positive and its magnitude is increasing, then acceleration is positive.
2. If velocity is positive and its magnitude is decreasing, then acceleration is negative.
3. If velocity is negative and its magnitude is increasing, then acceleration is negative.
4. If velocity is negative and its magnitude is decreasing, then acceleration is positive.
A Positive
B Negative
C Can't be determined
D Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 161]
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<p>1. If velocity is positive and its magnitude is increasing, then acceleration is positive.</p>
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Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
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Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 165]Code Context
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If velocity is positive and its magnitude is increasing, then acceleration is positive.</p> <p>2. If velocity is positive and its magnitude is decreasing, then acceleration is negative.</p> <p>3. If velocity is negative and its magnitude is increasing, then acceleration is negative.</p> <p>4. If velocity is negative and its magnitude is decreasing, then acceleration is positive.</p> ' $pos = false $pos2 = false $header = '' $m = (int) 3 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 165 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 260
Since, particle is moving in positive direction so, velocity is positive.
Since, velocity is positive and speed is decreasing, therefore, acceleration is negative.
Positive
.Negative
Can't be determined
?>
</div>
<div class="col-md-5 col-xs-12 options-in-solSteps <?php if($bucketData[$i]['Bucket']['QuestionOption'][3]['QuestionOption']['is_correct']){ echo 'correct-Answer'; $correctOption="D"; }?>">
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'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ) ) $description = 'Learn steps to determine the sign of displacement, velocity and acceleration equations. Practice to check a particle, in one dimensional motion & direction of motion at the point velocity & acceleration, gravity convention.' $SubtopicName = 'sign convention' $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 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) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', '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) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', '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) 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) 4 $j = (int) 2 $str = '<h2><strong>Sign of acceleration</strong></h2> <p>1. If velocity is positive and its magnitude is increasing, then acceleration is positive.</p> <p>2. If velocity is positive and its magnitude is decreasing, then acceleration is negative.</p> <p>3. If velocity is negative and its magnitude is increasing, then acceleration is negative.</p> <p>4. If velocity is negative and its magnitude is decreasing, then acceleration is positive.</p> ' $pos = false $pos2 = false $header = '' $m = (int) 2 $correctOption = 'B'
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 260
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 289]Code Context
<?php
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'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ) ) $description = 'Learn steps to determine the sign of displacement, velocity and acceleration equations. 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If velocity is positive and its magnitude is increasing, then acceleration is positive.</p> <p>2. If velocity is positive and its magnitude is decreasing, then acceleration is negative.</p> <p>3. If velocity is negative and its magnitude is increasing, then acceleration is negative.</p> <p>4. If velocity is negative and its magnitude is decreasing, then acceleration is positive.</p> ' $pos = false $pos2 = false $header = '' $m = (int) 2 $correctOption = 'B'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 260
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 296]Code Context<?php
}
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If velocity is positive and its magnitude is increasing, then acceleration is positive.</p> <p>2. If velocity is positive and its magnitude is decreasing, then acceleration is negative.</p> <p>3. If velocity is negative and its magnitude is increasing, then acceleration is negative.</p> <p>4. If velocity is negative and its magnitude is decreasing, then acceleration is positive.</p> ' $pos = false $pos2 = false $header = '' $m = (int) 2 $correctOption = 'B'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 260
Option B is Correct
A Positive
B Negative
C Zero
D None of these
The direction of the acceleration due to gravity is always towards the center of earth.
Since, downward direction is taken positive.
Thus, acceleration due to gravity is positive in downward direction.
Hence, in upward motion, the acceleration due to gravity is negative.
Positive
.Negative
Zero
None of these
Option B is Correct