Chapter 2, Problem 15P

To determine

To Find: The speed of the ball.

Explanation of Solution

Given:

Length of the bowling lane, $d=16.5\text{m}$

Time in which sound is heard, $t_{total}=2.50\text{s}$

Speed of sound, $v_s=340\text{m/s}$

Formula Used:

Speed, $v=\frac{d}{t}$

Calculations:

The time in which sound reaches from pins to bowler can be calculated as follows:

  $\begin{array}{c}{t}_s=\frac{d}{v_s}\\ =\frac{16.5\text{m}}{340\text{m/s}}\\ =0.048\text{s}\end{array}$

The time in which ball reaches the pins can be calculated as follows:

  $\begin{array}{l}t=t_{total}-t_s\\ t=\text{2}\text{.50 s-0}\text{.048 s}\\ t\text{ =2}\text{.45 s}\end{array}$

The speed of the bowling ballcan be calculated as follows:

  $v=\frac{16.5\text{m}}{2.45\text{s}}=6.7\text{m/s}$

Conclusion: 

Thus, the speed of ball is about $6.7\text{m/s}$ .