# If an object is dropped, how fast will it be moving after falling #3 m#?

##### 1 Answer

The velocity after falling 3m would be

If drag is ignored.

#### Explanation:

All objects in free fall near the Earth's surface and with no drag have a constant acceleration of

**State data and select equation:**

Use

Substitute values into the equation:

*The reason for an acceleration of #9.8 m.s^(-2)# is because with no drag the resultant force is equal to the weight only. We can write the following equation:
#F = w = mg# ①
Where *g

*is the gravitational field strength. Near the Earth's surface the value of*g* is

Newton's second law tells us that resultant force is equal to the product of mass and acceleration:

Combine the two equations:

Mass cancels out to leave: