NTNUJAVA Virtual Physics LaboratoryEnjoy the fun of physics with simulations! Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
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An interaction between two opposites produces a unique outcome. ..."Jules Henri Poincare(1854-1912, One of France's greatest mathematicians)"

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 Author Topic: Projectile motion with equations  (Read 29372 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
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Posts: 3081

 « Embed this message on: February 09, 2008, 07:33:38 pm »

Projectile motion: acceleration a=-g is a constant in the vertical (y)direction.
It means that Vy(t)=Vy(t=0)+a*t =Vy(t=0)-g*t
The average speed from 0 to t is equal to
(V(t=0)+V(t))/2= V(t=0)+a*t/2= V(t=0)-g*t/2
because velocity change linearly.

So the distance traveled in y direction= average speed * t = V(t=0)*t - gt2/2
The distance traveled in x direction is Vx*t because velocity did not change in the horizontal direction.

This applet let you play with projectile.
You can adjust the initial (x,y) position of particle with mouse.
Drag the red arrow to change the initial velocity.
You can also change the above parameters with slider (x,y,vx,vy).
Equation for projectile motion with your initial conditions are displayed.
Click Initialize to reset time to zero and adjust new initial condition.
The simulation will remember the last three traces.
-*-

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lookang
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http://weelookang.blogspot.com

 « Embed this message Reply #1 on: September 22, 2008, 08:22:36 am » posted from:SINGAPORE,SINGAPORE,SINGAPORE

you might be interested in this projectile motion by lookang too.

http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=745.0

enjoy
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TaraLaster
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Posts: 8

 « Embed this message Reply #2 on: December 18, 2013, 11:33:10 am » posted from:Makati,Manila,Philippines

Projectile motion: acceleration a=-g is a constant in the vertical (y)direction.
It means that Vy(t)=Vy(t=0)+a*t =Vy(t=0)-g*t
The average speed from 0 to t is equal to
(V(t=0)+V(t))/2= V(t=0)+a*t/2= V(t=0)-g*t/2
because velocity change linearly.

So the distance traveled in y direction= average speed * t = V(t=0)*t - gt2/2
The distance traveled in x direction is Vx*t because velocity did not change in the horizontal direction.

This applet let you play with projectile.
You can adjust the initial (x,y) position of particle with mouse.
Drag the red arrow to change the initial velocity.
You can also change the above parameters with slider (x,y,vx,vy).
Equation for projectile motion with your initial conditions are displayed.
Click Initialize to reset time to zero and adjust new initial condition.
The simulation will remember the last three traces.
-*-

Kinda!
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An interaction between two opposites produces a unique outcome. ..."Jules Henri Poincare(1854-1912, One of France's greatest mathematicians)"