/sci/ - Science & Math

The questions are:

>1. Select the correct expression for the relationship between the accelerations of blocks 1 and 2
>2. Select the correct expression that describes how the magnitude of the acceleration of block 1, a1, depends on the tension in the rope, T
>3. Select the correct expression that describes how the magnitude of the acceleration of block 2, a2, depends on the tension in the rope, T

My attempts:

1. Block one accelerates left and Block 2 downward. Thus, they both have the same sign. Also, for every unit of length Block 1 moves, Block 1 only moves half as far. Therefore, the relationship is [math]a_{1x} = 2a_{2y}[/math].

2. The balance of forces on Block 1 is
[math]-T=m_{1}a_{1x}[/math]
[math]\therefore \lvert a_{1x}\lvert = \frac{T}{m_1}[/math]

3. The balance of forces on Block 2 is
[math]2T-m_2g = m_2 a_{1y}[/math]
[math]\therefore \lvert a_{1y} \lvert = \frac{2T}{m_2}-g[/math]

I have to submit the answers in batch, so I'm not even sure which of these I'm going full brainlet on.