What thrust does a 350 model rocket need in order to have a vertical acceleration of 14.0 on the Earth?

To find the thrust required for a model rocket to have a vertical acceleration of 14.0 m/s² on Earth, we need to 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:

Net Force = Mass x Acceleration

In this case, the net force is equal to the thrust of the rocket. The mass of the rocket can be calculated using the formula:

Mass = Weight / Acceleration due to gravity

The weight of the rocket can be found by multiplying its mass by the acceleration due to gravity (9.8 m/s² on Earth).

Thus, the formula for calculating the required thrust is:

Thrust = Mass x Acceleration

Now let's calculate the thrust required for the model rocket:

1. Determine the mass of the rocket:
Mass = Weight / Acceleration due to gravity

Note: The problem statement does not provide the weight of the rocket. So we need that information to proceed further.

What are the units that go with those numbers? kg? m/s^2?

Once you have figured out what the units are, use F = M a

In physics, numbers without unitsare useless

350 kg is heavy for a "model rocket".