- Height (h) = 50 cm = 0.5 m
- Acceleration due to gravity (g) = 9.8 m/s²
To find:
- Speed (v) when the ball reaches the bottom of the plane.
Solution:
We can use the following equation to calculate the final speed of the ball:
```
v² = u² + 2gh
```
where:
- v is the final speed of the ball
- u is the initial speed of the ball (0 m/s, since the ball is at rest)
- g is the acceleration due to gravity
- h is the height from which the ball is dropped
Substituting the given values into the equation, we get:
```
v² = 0² + 2 * 9.8 m/s² * 0.5 m
v² = 9.8 m²/s²
v = √9.8 m²/s²
v = 3.13 m/s
```
Therefore, the speed of the ball when it reaches the bottom of the plane is 3.13 m/s.