Understanding the Concepts
* Free Fall: This means the only force acting on the object is gravity.
* Acceleration due to Gravity (g): On Earth, this is approximately 9.8 m/s². This means the object's speed increases by 9.8 meters per second every second it falls.
* Initial Velocity (v₀): You've stated it's 0 m/s, meaning the object was dropped, not thrown.
Formula
The formula to calculate the final velocity (v) after a certain time (t) under constant acceleration (a) is:
v = v₀ + at
Calculation
1. Plug in the values:
* v₀ = 0 m/s
* a = 9.8 m/s²
* t = 3 s
2. Substitute and solve:
v = 0 + (9.8 m/s²)(3 s)
v = 29.4 m/s
Answer
The object will be traveling at 29.4 m/s after falling for 3 seconds.
