A model car is propelled by a cylinder of carbon dioxide gas. The cylinder emits gas at a rate of 4.5 g/s with an exit speed of 80.0 m/s. The car has a mass of 200 g, including the CO2 cylinder. Starting from rest, what is the car's initial acceleration?Select one:a.0.90 m/s2b.1.8 m/s2c.36 m/s2d.9.0 m/s2

To solve this problem, we need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. In this case, the net force is the thrust provided by the CO2 gas, and the mass is the total mass of the car.

The thrust (force) provided by the CO2 gas can be calculated using the equation:

Thrust = mass flow rate * exit speed

where:

• mass flow rate is the rate at which the CO2 gas is being emitted (4.5 g/s), and
• exit speed is the speed at which the gas is being emitted (80.0 m/s).

However, we need to convert the mass flow rate from g/s to kg/s (since 1 kg = 1000 g) to keep the units consistent. So, the mass flow rate is 4.5 g/s = 0.0045 kg/s.

Substituting these values into the equation gives:

Thrust = 0.0045 kg/s * 80.0 m/s = 0.36 N

Next, we calculate the acceleration using Newton's second law:

Acceleration = Thrust / mass

Again, we need to convert the mass of the car from g to kg. So, the mass is 200 g = 0.2 kg.

Substituting these values into the equation gives:

Acceleration = 0.36 N / 0.2 kg = 1.8 m/s^2

So, the car's initial acceleration is 1.8 m/s^2. Therefore, the correct answer is (b) 1.8 m/s^2.