Areal velocity is defined as the area swept by the position vector per unit time: $\frac{dA}{dt}$.

In polar coordinates, $dA = \frac{1}{2} r^2 d\theta$.
So, $\frac{dA}{dt} = \frac{1}{2} r^2 \frac{d\theta}{dt} = \frac{1}{2} r^2 \omega$.

Since angular momentum $L = m r^2 \omega$, we can substitute $r^2 \omega = \frac{L}{m}$.

Therefore, $\text{Areal Velocity} = \frac{1}{2} \left( \frac{L}{m} \right) = \frac{L}{2m}$.

In Acute Myocardial Infarction (AMI), the priority nursing assessment is continuous cardiac monitoring and 12-lead ECG because:

• AMI causes life-threatening arrhythmias (ventricular fibrillation, ventricular tachycardia) in the first hours
• ECG identifies the infarct location, extent, and guides reperfusion decisions
• Time-to-treatment (door-to-balloon time ≤ 90 minutes for STEMI) is the key determinant of outcomes

The 4 Ts of AMI nursing priority:

1. Time (ECG within 10 minutes)
2. Thrombolytics/PCI preparation
3. Therapy (MONA: Morphine, Oxygen, Nitrates, Aspirin)
4. Telemetry (continuous cardiac monitoring)

Cardiac biomarkers (Troponin I/T) are diagnostic but take time. ECG provides immediate actionable information.

Pakistan EPI Schedule (current):

Pentavalent vaccine = 5-in-1 vaccine protecting against:

1. Diphtheria
2. Tetanus
3. Pertussis (whooping cough)
4. Hep B (Hepatitis B)
5. Hib (Haemophilus influenzae type b)

Contraindications: Previous anaphylaxis to vaccine component, progressive neurological disorder (for pertussis component), severe febrile illness (defer, not contraindicate).

Cold chain: Pentavalent stored at \(2{-}8°C\); never frozen (freeze-sensitive).