What is the velocity of an object that falls from a cliff tot he ground which is 20,000 centimeters below?
To calculate the velocity of an object that falls from a cliff, you can use the equation for free fall motion. The equation is given by:
v = √(2gh)
Where:
v is the velocity of the object
g is the acceleration due to gravity (9.8 m/s² on Earth)
h is the height from which the object falls
First, let's convert the height from centimeters to meters. There are 100 centimeters in one meter, so the height is 20,000 centimeters ÷ 100 = 200 meters.
Plugging in the values into the formula:
v = √(2 × 9.8 × 200)
Now, we can calculate the velocity:
v = √(2 × 9.8 × 200) ≈ √(3920) ≈ 62.57 m/s
Therefore, the velocity of the object when it reaches the ground is approximately 62.57 meters per second.