Understanding the Physics
* Acceleration due to gravity (g): On Earth, this is approximately 9.8 m/s². This means that every second, the speed of a falling object increases by 9.8 meters per second.
* Initial velocity (v₀): Since the object starts from rest, its initial velocity is 0 m/s.
* Time (t): We're given that the time is 10 seconds.
The Formula
We can use the following formula from kinematics to calculate the final velocity (v):
v = v₀ + gt
Calculation
1. Plug in the values:
v = 0 + (9.8 m/s²)(10 s)
2. Simplify:
v = 98 m/s
Answer:
The speed of a free-falling object after 10 seconds from rest is approximately 98 meters per second.
