Part 1#

If the origin is at the bear’s foot (up in the tree), write an equation describing the $x$ coordinate of the bear while it is in the air.

Use the following table as a reference. Note that it may not be necessary to use every variable.

Part 2#

If the origin is at the bear’s foot (up in the tree), write an equation describing the $y$ coordinate of the bear while it is in the air.

Use the following table as a reference. Note that it may not be necessary to use every variable.

Part 3#

If the origin is at the bear’s foot (up in the tree), write an equation describing the $V_x$ component of the velocity of the bear while it is in the air.

Use the following table as a reference. Note that it may not be necessary to use every variable.

Part 4#

If the origin is at the foot of the bear’s jumping tree, write an equation describing the $V_y$ component of the velocity of the bear while it is in the air.

Use the following table as a reference. Note that it may not be necessary to use every variable.

Part 5#

Does the bear make it to the other side of the stream?

Part 6#

When the bear is at its highest ($y$ or vertical) position above the stream, what is the $x$-coordinate of the bear?

Part 7#

Where is the $y$-coordinate of the bear’s highest position above the stream?

Part 8#

What is the bear’s velocity when it reaches its maximum height?

Use the following table as a reference.

Part 9#

This question is much easier to do in the frame of an observer moving with velocity $\overrightarrow{u}=$ 3 $\frac{\mathrm{m}}{\mathrm{s}}\hat{ı}+$ 0 $\frac{\mathrm{m}}{\mathrm{s}}\hat{ȷ}$. Describe why?

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.