Interesting properties of projectile motion

[Fu-Kwun Hwang]

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Interesting properties of projectile motion

This java applet let you play with projectile motion.

There are two case you can play with :

1. look at trajectories of many projectile with the same initial speed:
The red half circle is proportional to the speed of all the projectiles.
You can click near the red curve with leftmouse button and drag the mouse button to change the speed ofthe projectiles. ( or enter value into speed=xxx box)
The number of the projectile is shown as count= xxx.

What is the meaning of the green ellipsetrace? I will let you find out by yourself.

Press the Start button, all the projectiles will spread out.

At any instance, the trajectory of all the projectiles is an arcof a circle.

Would you like to calculate the equation for that circle?
The center of the circle moving down with velocity v=gt (g:gravityfield strength, t: time)
The radius of this circle r = v t .
It will be easier if you treat the projectile's motion as
a constant motion + free fall (as case 2 for thisapplets).
Remind you again! What is the meaning of the greenellipse trace?
Why not calculate the equation for that ellipse!
When the animation is suspended:
The envelope of all the trajectories Is a parabola.
If you are not within the region enclosed by the parabola, then you aresafe.
Can you think of any application for this curve?

Click the mouse button to suspend the animation, click it again to resume.
Press Reset button for default values.( now you can change thespeed by mouse)
What will happen with different initial speed?

2. Let us select case 2 to study the motion of a projectile.( independence )
Yellow circle is the starting point of a projectile.
You can click the mouse at that location and drag the mouse to changeit.
The red arrow represents the initial speed of the projectile.
You can click near the tip of the arrow,
with left mouse button and dragit to change the speed.(same direction)
with right mouse button and dragit to change the direction.(same speed)
The gray line is the trajectory for the objectwithout gravity.
The parabola is the trajectory for theobject with gravitational field.

The vertical distance between the above curve is the freefall distance at that moment.
The blue circle is the range when it is fired from the ground level.
Press Start to shoot the object(yellow) according to the initialconditions. At the same time,

A green circle is released at the same location with any initial velocity.(free fall)
Another red circle is moving with constant velocity (without gravity)
The gray circles will also be released along the path,
and meet with the yellow circle.

displacement of red circle + displacement of green circle  = displacement of yellow circle

Constant motion + Free fall = Projectile motion

Enjoy this java applet and learn some physics!

Registed user can get files related to this applet for offline access.
Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
If java program did not show up, please download and install latest Java RUN TIME

There are 3 translations, select to view translated versionEspañol - Spanish(by mmarti16: 0)Español - Spanish(by namidadraco: 0)English(by NAMANSAR: 0)
Higher number at the end means more translation been done.

or

[masud86monsur]

Projectile motion make a characteristic and captivating development anythings.Some strategy is extremely helpful for me .Absolutely awesome deduction furthermore a win over the work you were doing.It's a superior open doors and new goal for ours.I trust you will be all the more better arrangement from next deterrents.-*-