Understanding the Concepts
* Free Fall: An object in free fall experiences only the force of gravity. We assume no air resistance.
* Acceleration due to Gravity (g): On Earth, the acceleration due to gravity is approximately 9.8 m/s². This means that an object in free fall increases its speed by 9.8 meters per second every second.
* Initial Velocity (v₀): We'll assume the object starts from rest, so its initial velocity is 0 m/s.
Formula
The formula to calculate the final velocity (v) of an object in free fall is:
v = v₀ + gt
Where:
* v = final velocity
* v₀ = initial velocity
* g = acceleration due to gravity (9.8 m/s²)
* t = time
Calculation
1. Convert mass to kilograms: 50 g = 0.05 kg (Since we'll be using SI units)
2. Plug in the values:
* v₀ = 0 m/s
* g = 9.8 m/s²
* t = 3 s
3. Solve for v:
* v = 0 + (9.8 m/s²) * (3 s)
* v = 29.4 m/s
Answer:
The speed of the object after falling for 3 seconds is approximately 29.4 m/s.
