Class Challenge:
Create a bouncing ball animation using:
speed() for velocity changes
stamp() for impact marks
home() to reset position
then

Question

Class Challenge: Create a bouncing ball animation using: speed() for velocity changes stamp() for impact marks home() to reset position then

UpStudy AI · Accepted Answer

```markdown
1. Import the turtle module and create the screen.

```python
import turtle

# Set up the window with automatic updates turned off for smoother animation
wn = turtle.Screen()
wn.bgcolor("white")
wn.tracer(0)  
```

2. Create the ball turtle and set its properties. We use:
   - $$ 	exttt{ball.speed}(0) $$ to maximize animation performance.
   - $$ 	exttt{ball.shape}("circle") $$ for a circular ball.
   - $$ 	exttt{ball.penup}() $$ so that the turtle does not draw lines.
   - $$ 	exttt{ball.color}("red") $$ for a visible ball color.

```python
ball = turtle.Turtle()
ball.shape("circle")
ball.color("red")
ball.penup()
ball.speed(0)  # Fastest animation
```

3. Define the physics parameters.
   - Let $$ 	ext{velocity} $$ be the initial upward speed.
   - Let $$ 	ext{gravity} $$ be a negative constant that reduces the upward velocity.
   - Let $$ 	ext{dy} $$ represent the change in $$ y $$-position per frame.

We can start with:
   - $$ 	ext{velocity} = 5 $$
   - $$ 	ext{gravity} = -0.1 $$

```python
velocity = 5      # initial upward jump speed
gravity = -0.1    # gravity affects the ball by decreasing the speed
dy = velocity     # current vertical speed
```

4. Write the animation loop to update the ball’s position. Use the following ideas:
   - Update the ball's $$ y $$-coordinate: $$ 	exttt{y} = 	exttt{y} + 	ext{dy} $$
   - Update the vertical speed: $$ 	ext{dy} = 	ext{dy} + 	ext{gravity} $$
   - When the ball touches the "floor", use:
     - $$ 	exttt{stamp}() $$ to mark the spot of impact.
     - $$ 	exttt{home}() $$ to reset the ball’s position to the origin.
     - Reset $$ 	ext{dy} $$ to its initial $$ 	ext{velocity} $$

Let’s assume the floor is defined at $$ y = -200 $$.

```python
while True:
    # Move the ball by updating its y-coordinate
    ball.sety(ball.ycor() + dy)
    
    # Update the vertical speed (simulate gravity)
    dy += gravity

# Check for bounce against a floor at y = -200
    if ball.ycor() < -200:
        ball.stamp()    # Mark the impact position
        ball.home()     # Reset the ball to the starting position (0,0)
        dy = velocity   # Reset the velocity for another bounce

wn.update()  # Refresh the screen with the new ball position
```

5. Keep the window open until it is closed by the user.

```python
wn.mainloop()
```

This code creates a bouncing ball animation using the turtle module. We use:
- $$ 	exttt{speed}() $$ to control the drawing speed,
- $$ 	exttt{stamp}() $$ to leave an impact mark at each bounce,
- $$ 	exttt{home}() $$ to reset the ball's position, and
- A while loop to continuously update the ball's position according to the physics governed by $$ 	ext{gravity} $$ and $$ 	ext{velocity} $$.
```
```python import turtle # Set up the screen wn = turtle.Screen() wn.bgcolor("white") wn.tracer(0) # Create the ball ball = turtle.Turtle() ball.shape("circle") ball.color("red") ball.penup() ball.speed(0) ball.goto(0, 0) # Physics parameters velocity = 5 gravity = -0.1 dy = velocity while True: ball.sety(ball.ycor() + dy) dy += gravity if ball.ycor() < -200: ball.stamp() ball.home() dy = velocity wn.update() wn.mainloop() ```

Class Challenge:
Create a bouncing ball animation using:
speed() for velocity changes
stamp() for impact marks
home() to reset position
then

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