<![CDATA[Free Fall Kinematics in Y direction Model]]> false false false false false false false true true false ]]> ./freefall/2016-01-21_0919secs.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 true Elements.PlottingPanel Elements.Shape2D Elements.AnalyticCurve2D Elements.Trail2D 2*dt]]> Elements.AnalyticCurve2D Elements.Shape2D Elements.Trail2D 0]]> 0]]> Elements.ShapeSet2D true Elements.Group2D Elements.Shape2D Elements.Trail2D 0]]> 0]]> false 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.Label Elements.CheckBox Elements.Slider Elements.ParsedField Elements.Label Elements.Label 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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