Understanding the Physics
* Acceleration due to gravity (g): The marble accelerates downwards due to gravity, which is approximately 9.8 m/s². This means its speed increases by 9.8 meters per second every second.
* Initial velocity (v₀): The marble is dropped, so its initial velocity is 0 m/s.
* Time (t): The marble takes 5 seconds to hit the water.
Formula
We can use the following formula to calculate the final velocity (v) of the marble:
v = v₀ + gt
Calculation
1. Substitute the values:
v = 0 + (9.8 m/s²) * (5 s)
2. Calculate:
v = 49 m/s
Answer
The marble strikes the water with a speed of 49 m/s.
