Final answer:
To find the velocity of an object as it hits the ground after being dropped from a 5m height, use the equation V = √(2gh), where g is the acceleration due to gravity and h is the height.
Step-by-step explanation:
Understanding Free Fall Physics
When an object is dropped from a height of 5 meters, the variables we know are the initial height (5m) from which the object is dropped, the acceleration due to gravity (9.8 m/s², assuming we are on Earth and air resistance can be neglected), and the initial velocity (0 m/s, as the object is dropped and not thrown). To calculate the velocity of the object as it hits the ground, you would use the physics equation for the velocity of an object in free fall:
V = √(2gh)
Where V is the final velocity, g is the acceleration due to gravity (9.8 m/s²), and h is the height the object has fallen. Using this equation, it becomes clear that the correct answer from the provided options is the one that shows the square root of twice the product of the acceleration due to gravity and the height.
The example given does not directly provide the option, but based on the information we can deduce the missing equation resembling the equation above. Specifically, the missing option would be:
b. V = √(2gh)
This equation allows us to calculate the final velocity just before impact, without needing to know the time it took to fall. Applying this formula to the given height of 5m, the calculation would be V = √(2 * 9.8 m/s² * 5m).