Chapter 10, Problem 11STP

To determine

After how long the crack of the bat and ball is heard.

Answer to Problem 11STP

Thetime taken is, $\boxed{t=1\text{ s}}$ .

Explanation of Solution

Given:

The speed of sound in air is 340 m/s and the distance to the home plate is 170 m.

Formula used:

The expression for time, speed and distance is,

  $v=\frac{d}{t}$…… (1)

Here, v is the speed of sound, d is the distance travelled by the sound and t is the time taken.

For an echo to be recorded it has to travel towards the object and reflect back to the source, hence the total distance is twice the distance, d =2× d

Calculation:

Substituting 340 m/s second in v and 2×170 m in d in equation (1),

  $\begin{array}{l}340=\frac{2\times 170}{t}\\ \boxed{t=1\text{ s}}\end{array}$

Conclusion:

Hence, the time taken is, $\boxed{t=1\text{ s}}$ .