If a Tree Grows in a Forest...

This applet explores related rates. The rate at which a tree's branches grow is proportionate to the tree's height at any given time.

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initial branch 2 length
initial tree height
initial branch 1 length
rate of tree growth
0 0 1

Try inputting different values for the rate or the initial heights and observe the effects on the rest of the variables.

App generated by Geometry Expressions