So to describe the picture:

There is a rope holding up a 2kg block, this 2kg block has a rope attached to it holding another 2 kg block.
This rope is accelerating. How can I find the tension in the rope?
Time is .7 and Velocity is .35.
I'm really confused.

Is the time measured from the time the weights are released? If so, you know that the acceleration rate is .35/0.7 = 0.5 m/s^2.

For which rope do you want to know the tension? They will be different.

Writing the free body F = ma equation for both weights will let go solve for the tension in both ropes.

Yes the time is when it begins accelerating. And we have to find the tensions for both ropes...which is where I'm confused. I was able to find acceleration but now I am not sure how to use it to find the tensions.

To find the tension in the rope, you can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, the net force is due to the tension in the rope.

To calculate the tension, you need to determine the acceleration of the system. Since the system is accelerating, there must be a net force acting on it. The net force is the difference between the force pulling down (the weight) and the force pulling up (the tension):

Net force = Force pulling down - Force pulling up

In this case, the weight pulling down is the gravitational force acting on each block. The force of gravity can be calculated using the formula:

Force of gravity = mass * acceleration due to gravity

Given that each block has a mass of 2 kg, and the acceleration due to gravity is approximately 9.8 m/s², the force of gravity on each block is:

Force of gravity = 2 kg * 9.8 m/s² = 19.6 N

Now, let's assume that the tension in the rope is T Newtons. The force pulling up is the tension experienced by both blocks. Since both blocks have the same mass and acceleration, the tension will be the same for both blocks.

Therefore, the net force equation becomes:

Net force = (19.6 N + 19.6 N) - 2T Newtons

The net force is also equal to the product of the total mass of the system (4 kg) and the acceleration. Rearranging the equation, we have:

4 kg * acceleration = (39.2 N - 2T) Newtons

You mentioned that the system is accelerating, and you provided the time and velocity. However, to determine the acceleration, we need more information, such as the initial velocity or the displacement of the system.

Once you have the acceleration, you can solve the equation above for T to find the tension in the rope.