A car maintains a constant velocity of $120\mathrm{km}/h$ for $10s$. What is the acceleration of the car during this time?

• A. $120m/s^2$
• B. $0m/s^2$
• C. $12m/s^2$
• D. $33.3m/s^2$

Answer: (B)

Verified step by step guidance

1. Identify the given quantities: the car's velocity is constant at 120 km/h, and the time interval is 10 seconds.
2. Recall the definition of acceleration: it is the rate of change of velocity with respect to time, given by the formula \(a = \frac{\Delta v}{\Delta t}\).
3. Since the velocity is constant, the change in velocity \(\Delta v\) over the time interval is zero.
4. Substitute \(\Delta v = 0\) and \(\Delta t = 10\) s into the acceleration formula to find \(a = \frac{0}{10}\).
5. Conclude that the acceleration is zero because the velocity does not change during the given time.