To find all the Puzzle Pieces in Vine Valley (Level 5-1) in Donkey Kong Country Returns, follow these detailed steps:

### Step-by-Step Guide to Finding All Puzzle Pieces in Vine Valley

1. **Start of the Level**
– Begin by going left from the starting point and travel behind some crystals to find **Puzzle Piece 1**.

2. **First Set of Vines**
– After reaching the first set of vines, go along the area below and enter a hidden opening in a raised platform to access a Bonus Level.
– In this Bonus Level, collect 65 bananas, three Banana Coins, and a Red Balloon within 30 seconds. The Puzzle Piece will appear once all items are collected.

3. **Edge of the Platform**
– Just after the letter K, go to the edge of the platform and jump behind a bush in the abyss. Land into a hidden Barrel Cannon that blasts you to **Puzzle Piece 3**.

4. **Area with Tiki Goons**
– After the third Puzzle Piece, there is an area with some Tiki Goons. Next to an Ape-Eating Plant, Ground Pound a yellow plant to release **Puzzle Piece 4**.

5. **Vine Hanging from a Bush**
– Right after the fourth Puzzle Piece, there is a part of a vine hanging from a bush at the top of the screen. To reach it, jump on the nearby green-covered platform and roll jump from the top. Grab onto the vines to go up into a Bonus Level.
– In this Bonus Level, collect 47 bananas, a Red Balloon, and two Banana Coins by moving two moving platforms within 30 seconds. The Puzzle Piece will appear once all items are collected.

6. **Swinging Vines**
– When swinging on the first two vines after the checkpoint, collect every banana below you for **Puzzle Piece 6** to appear at the top of the second vine.

7. **Red Leaves**
– Three twirling, red leaves are on the platform immediately before the Slot Machine Barrel. Blow on them to reveal three bananas, which you must collect for **Puzzle Piece 7** to appear.

### Summary of Puzzle Piece Locations

– **Puzzle Piece 1**: Behind crystals at the start of the level.
– **Puzzle Piece 2**: In a hidden Bonus Level accessed via a raised platform.
– **Puzzle Piece 3**: Behind a bush in an abyss.
– **Puzzle Piece 4**: Released by Ground Pounding a yellow plant.
– **Puzzle Piece 5**: In a Bonus Level reached by jumping from a green-covered platform.
– **Puzzle Piece 6**: Collected by swinging vines and grabbing bananas.
– **Puzzle Piece 7**: Revealed by blowing on red leaves.

By following these steps, you will be able to find all seven Puzzle Pieces in Vine Valley (Level 5-1) of Donkey Kong Country Returns.