A railway carriage moves over a straight track with acceleration a. Passenger in the carriage drops a stone. What is the acceleration of the stone w.r.t. the carriage and the earth?

Explanation

To solve the problem, we need to determine the acceleration of the stone with respect to both the railway carriage and the Earth. Let's break it down step by step.

### Step 1: Understand the scenario
The railway carriage is moving with an acceleration \( a \) along a straight track. When a passenger drops a stone, it will experience two accelerations: one due to gravity and one due to the motion of the carriage.

**Hint:** Identify the forces acting on the stone once it is dropped.

### Step 2: Analyze the acceleration of the stone with respect to the Earth
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