In the context of the velocity of transverse waves, a pulse travels a distance of $12m$ along a string in $3s$. What is the wave speed?

• A. $4m/s$
• B. $0.25m/s$
• C. $9m/s$
• D. $36m/s$

Answer: (A)

Verified step by step guidance

1. Identify the given quantities: the distance the pulse travels, \(d = 12\ \text{m}\), and the time taken, \(t = 3\ \text{s}\).
2. Recall the formula for wave speed, which is the distance traveled divided by the time taken: \(v = \frac{d}{t}\).
3. Substitute the given values into the formula: \(v = \frac{12\ \text{m}}{3\ \text{s}}\).
4. Simplify the fraction to find the wave speed in meters per second.
5. Interpret the result as the speed at which the transverse wave pulse moves along the string.