I have a cold and today I started coughing and I can hear a wezzy sound and I cough so hard I throw up is this normal?

Cough. A few things can present with cough and wheezes that occurs during cold / flu like symptoms like bronchitis, pneumonia, sinusitis... The most common one is underlying asthma. Severe coughing might cause vomiting. I suggest you see a local physician.