Understanding the Concepts
* Free Fall: An object in free fall experiences only the force of gravity.
* Acceleration due to Gravity: This is the constant acceleration experienced by objects in free fall. It's represented by 'g' and is different on different planets.
* Kinematic Equations: We can use equations of motion to relate displacement, velocity, acceleration, and time.
The Problem
We know:
* Displacement (d): 3 meters
* Time (t): 1 second
We need to find the acceleration (a).
Applying the Equation
We can use the following kinematic equation:
d = v₀t + (1/2)at²
where:
* v₀ is the initial velocity (which is 0 since the object starts from rest)
Solving for Acceleration (a)
1. Plug in the values: 3 = (0)(1) + (1/2)a(1)²
2. Simplify: 3 = (1/2)a
3. Solve for a: a = 6 m/s²
Therefore, the magnitude of the acceleration of the object is 6 m/s².