An open rectangular tank 1.5 m wide 2m deep ad 2 m long is half filled with water. It is accelerated horizontally at `3.27m//s^(2)` in the direction of its length determine the depth of water at each end of tank.

Explanation

To solve the problem, we need to determine the depth of water at each end of the tank when it is accelerated horizontally. Here’s a step-by-step solution:

### Step 1: Understand the Problem
We have an open rectangular tank that is 1.5 m wide, 2 m deep, and 2 m long, which is half-filled with water (1 m deep). The tank is accelerated horizontally at \(3.27 \, \text{m/s}^2\) in the direction of its length.

### Step 2: Determine the Angle of the Water Surface
When the tank is accelerated, the water surface will tilt, forming an angle \(\theta\) with the horizontal. The angle can be found using the formula:

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