1. Understand the Concepts
* Initial Velocity: The bullet starts at rest, so its initial velocity (v₀) is 0 ft/s.
* Final Velocity: The bullet exits the barrel at 1100 ft/s (v).
* Distance: The bullet travels 2.10 feet (d) within the barrel.
* Acceleration: We need to find the acceleration (a).
2. Use the Appropriate Kinematic Equation
We can use the following kinematic equation:
v² = v₀² + 2ad
Where:
* v = final velocity
* v₀ = initial velocity
* a = acceleration
* d = distance
3. Solve for Acceleration
* Plug in the known values:
1100² = 0² + 2 * a * 2.10
* Simplify: 1210000 = 4.20a
* Solve for 'a': a = 1210000 / 4.20 ≈ 288095.24 ft/s²
Therefore, the acceleration of the bullet inside the gun is approximately 288,095.24 ft/s².
Important Note: This calculation assumes constant acceleration, which may not be entirely accurate in real-world scenarios. The actual acceleration of a bullet inside a gun is likely to vary over time.
