Calculating the Velocity of a Falling Object

What is the velocity of a falling object just before it hits the ground?

A curious student drops a 1g coin from a 32m high window.

What is the velocity of the coin just before it hits the ground?

Velocity of the Falling Object

The velocity of the coin just before it hits the ground is approximately 25 m/s.

When calculating the velocity of a falling object, we can use the equation v = √(2gh), where v is the velocity, g is the acceleration due to gravity, and h is the height from which the object is dropped.

In this scenario, the coin is dropped from a height of 32 meters. The acceleration due to gravity on Earth is approximately 9.8 m/s².

By plugging in the values for g and h into the equation, we get v = √(2 * 9.8 * 32), which simplifies to v = √(627.2) resulting in a velocity of approximately 25 m/s.