Answer to Question #146994 in Calculus for Sean

Question

Jun throws a stone straight upward alongside a tree with an initial velocity of 32 ft/sec.
The stone rises until it is even with the top of the tree and then falls back to the ground. How tall is the
tree?

Answer 1

Let`s start with recognising given valuables:

V_initial=32ft/sec,

And we need to find:

h_max=?

We have given everything to calculate h_max through below equation:

h_max=V_initial²/(2*g), g=9.81 m/sec²=32.18 ft/sec².

h_max=32²/(2*32.18)=15.91 ft.

Then the answer is h_max=15.91 feet.

The length of the Tree is equal to h_max.