Understanding the Concepts

* Free Fall: An object in free fall experiences only the force of gravity. This means its acceleration is due to gravity (approximately 9.8 m/s²).

* Acceleration due to Gravity: This is the constant rate at which objects accelerate downwards near the Earth's surface.

* Velocity: Velocity is the speed and direction of an object.

Formula

We can use the following kinematic equation to find the final velocity (v):

v = u + at

where:

* v = final velocity

* u = initial velocity (we assume the object starts from rest, so u = 0 m/s)

* a = acceleration due to gravity (9.8 m/s²)

* t = time (11 seconds)

Calculation

1. Plug in the values:

v = 0 + (9.8 m/s²)(11 s)

2. Calculate:

v = 107.8 m/s

Answer

The velocity of the 4-kg mass after 11 seconds of free fall is approximately 107.8 m/s.