<![CDATA[Free Fall Kinematics in Y direction Model]]> false false false false false false false true true false ]]> ./freefall/2016-01-21_0916pris.png ./01authorlookang50x50.png DESCRIPTION_EDITOR About true false _default_ About false

Topics

Kinematics
Speed, velocity and acceleration
Graphical analysis of motion
Free-fall
Effect of air resistance

Description

This simulation has a drop-down menu for exploration of
(i) at rest  use of progressive mathematical model is encouraged Y = 0 for example
(ii) moving with uniform velocity, use of progressive mathematical model is encouraged
(iii) moving with non-uniform velocity (eg, constant acceleration) use of progressive mathematical model is encouraged
When only the  velocity-time graph check-box is selected, it can be explored for the following cases too.
(i) at rest 
(ii) moving with uniform velocity (eg, no acceleration) model of the form Y = Y0+u*t 
(iii) moving with uniform acceleration (eg, constant acceleration = 9.81 m/s^2) model of the form Y = Y0+u*t+0.5*g*t 
(iv) moving with non-uniform acceleration (eg, with small ot large drag force acting thus acceleration changes).
The default acceleration is set at-9.81 m/s^2 which is near to the Earth is constant and is approximately 10 m/s 2.
Lastly, by  selecting the 3 options of
"free fall"
"free_fall_with_small_air_resistance"
"free_fall_with_large_air_resistance"
It can provide the experience and evidences for describing the motion of bodies with constant weight falling with (large and small) or without air resistance, including reference to terminal velocity, a constant velocity as a result of balanced forces of weight of mass and the drag force giving rise to zero acceleration.

Sample Learning Goals

(e) plot and interpret a displacement-time graph and a velocity-time graph
(f) deduce from the shape of a displacement-time graph when a body is:
(i) at rest 
(ii) moving with uniform velocity
(iii) moving with non-uniform velocity
(g) deduce from the shape of a velocity-time graph when a body is:
(i) at rest 
(ii) moving with uniform velocity
(iii) moving with uniform acceleration
(iv) moving with non-uniform acceleration
(i) state that the acceleration of free fall for a body near to the Earth is constant and is approximately 10 m/s 2
(j) describe the motion of bodies with constant weight falling with or without air resistance, including reference to terminal velocity

Version:

  1. http://weelookang.blogspot.sg/2015/08/ejss-free-fall-kinematics-in-y.html
  2. http://weelookang.blogspot.sg/2013/12/ejss-free-fall-model.html
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]]> DESCRIPTION_EDITOR Intro Page true false _default_ Intro Page false

ball taken from: http://psychology.wikia.com/wiki/File:Soccer_ball.svg

http://weelookang.blogspot.sg/2013/12/ejss-free-fall-model.html ]]> 20 1 false VARIABLE_EDITOR Var Table true false VARIABLE_EDITOR shadows true false VARIABLE_EDITOR layout true false VARIABLE_EDITOR model true false CODE_EDITOR Init Page true false CODE_EDITOR shadows true false ODE_EDITOR Evol Page true false EVENT_EDITOR shadows true false CROSSING_EVENT BISECTION 100 true prev &&t>(0)) { shadowVis[counter] = true; // xShadows[counter] = x; yShadows[counter] = y; tShadows[counter]=t; vShadows[counter]=vy; aShadows[counter]=ay-k*vy; // xMarkVert[counter] = x; // yMarkVert[counter] = y - 0.15; // xMarkHoriz[counter] = x - 0.15; // yMarkHoriz[counter] = y; //prev = Math.ceil(t); counter++; //} ]]> EVENT_EDITOR Event true false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR Event 2 true false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR parachute true false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR helicopterjump true false CROSSING_EVENT BISECTION 100 true t dt vy ay-k*vy vymodel vymodelay aymodel RungeKutta 10000 0.00001 false false false false CODE_EDITOR velocity true false 0){ textv = "velocity is increasing"; } else if (( vy - vys)<0) { textv = "velocity is decreasing"; } else { textv = "undefined"; } if (( Math.abs(vy) - Math.abs(vys))===0){ texts = "speed is unchanged"; } else if (( Math.abs(vy) - Math.abs(vys))>0){ texts = "speed is increasing"; } else if (( Math.abs(vy) - Math.abs(vys))<0){ texts = "speed is decreasing"; } ]]> CODE_EDITOR worldview true false CODE_EDITOR FixRel Page true false =(ymax-sizey))){ _pause() ; textt = "paused"; } if ( (selected[0]==="simple_acceleration")&&(y>=(ymax-sizey))){ _pause() ; textt = "paused"; } if ( (selected[0]==="simple_deceleration")&&(vy<=0)){ _pause() ; textt = "paused"; } if ( (selected[0]==="toss_up")&&(y<=ymin)){ _pause() ; textt = "paused"; } // if ( (selected[0]==="free_fall")&&(y<=ymin)){ // _pause() ; // textt = "paused"; // } if ( (selected[0]==="free_fall_and_rebounce")){ } ]]> CODE_EDITOR model true false LIBRARY_EDITOR Lib Page true false LIBRARY_EDITOR android true false -1; //&& ua.indexOf("mobile"); } ]]> HTML_VIEW_EDITOR HtmlView Page true false 0 208 0 800 600 true true Elements.Panel true Elements.Panel false Elements.PlottingPanel Elements.Arrow2D Elements.Shape2D Elements.Shape2D Elements.Image2D Elements.Arrow2D Elements.Arrow2D Elements.Trace Elements.ShapeSet2D 0]]> Elements.Shape2D Elements.Shape2D Elements.Shape2D false Elements.PlottingPanel Elements.Shape2D Elements.AnalyticCurve2D Elements.Shape2D Elements.Trail2D Elements.ShapeSet2D false Elements.PlottingPanel Elements.Shape2D Elements.AnalyticCurve2D Elements.Trail2D 0]]> Elements.AnalyticCurve2D Elements.Shape2D Elements.Trail2D Elements.ShapeSet2D false Elements.PlottingPanel Elements.Shape2D Elements.AnalyticCurve2D Elements.Trail2D 2*dt]]> Elements.AnalyticCurve2D Elements.Shape2D Elements.Trail2D 0]]> 0]]> Elements.ShapeSet2D false Elements.Group2D Elements.Shape2D Elements.Trail2D 0]]> 0]]> true Elements.Panel Elements.ComboBox Elements.Label Elements.CheckBox Elements.Slider Elements.ParsedField Elements.Label Elements.Label Elements.CheckBox Elements.Slider Elements.ParsedField Elements.Label Elements.CheckBox Elements.TwoStateButton Elements.Button Elements.Button Elements.Button Elements.TwoStateButton Elements.Panel Feedback Google+]]> Elements.HtmlArea Topics Kinematics
Speed, velocity and acceleration
Graphical analysis of motion
Free-fall
Effect of air resistance

Description

This simulation has a drop-down menu for exploration of
(i) at rest  use of progressive mathematical model is encouraged Y = 0 for example
(ii) moving with uniform velocity, use of progressive mathematical model is encouraged
(iii) moving with non-uniform velocity (eg, constant acceleration) use of progressive mathematical model is encouraged
When only the  velocity-time graph check-box is selected, it can be explored for the following cases too.
(i) at rest 
(ii) moving with uniform velocity (eg, no acceleration) model of the form Y = Y0+u*t 
(iii) moving with uniform acceleration (eg, constant acceleration = 9.81 m/s^2) model of the form Y = Y0+u*t+0.5*g*t 
(iv) moving with non-uniform acceleration (eg, with small ot large drag force acting thus acceleration changes).
The default acceleration is set at-9.81 m/s^2 which is near to the Earth is constant and is approximately 10 m/s 2.
Lastly, by  selecting the 3 options of
"free fall"
"free_fall_with_small_air_resistance"
"free_fall_with_large_air_resistance"
It can provide the experience and evidences for describing the motion of bodies with constant weight falling with (large and small) or without air resistance, including reference to terminal velocity, a constant velocity as a result of balanced forces of weight of mass and the drag force giving rise to zero acceleration.

Sample Learning Goals

(e) plot and interpret a displacement-time graph and a velocity-time graph
(f) deduce from the shape of a displacement-time graph when a body is:
(i) at rest 
(ii) moving with uniform velocity
(iii) moving with non-uniform velocity
(g) deduce from the shape of a velocity-time graph when a body is:
(i) at rest 
(ii) moving with uniform velocity
(iii) moving with uniform acceleration
(iv) moving with non-uniform acceleration
(i) state that the acceleration of free fall for a body near to the Earth is constant and is approximately 10 m/s 2
(j) describe the motion of bodies with constant weight falling with or without air resistance, including reference to terminal velocity

Version:

  1. http://weelookang.blogspot.sg/2015/08/ejss-free-fall-kinematics-in-y.html
  2. http://weelookang.blogspot.sg/2013/12/ejss-free-fall-model.html
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