To calculate the speed of the hockey puck, we will use the formula for speed, which is given by:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Step 1: Determine the Distance
The distance between the blue lines is given as \(17 \frac{2}{3} \text{ m}\). In decimal form, this can be converted as follows:
\[ 17 \frac{2}{3} = 17 + \frac{2}{3} = 17 + 0.6667 = 17.6667 \text{ m} \]
Step 2: Determine the Time Taken
The time taken for the puck to travel between the blue lines is from \(2:35\) to \(2:32\) on the clock.
- Convert \(2:35\) to seconds remaining on the clock:
- \(2:35\) is \(155\) seconds.
- Convert \(2:32\) to seconds remaining on the clock:
- \(2:32\) is \(152\) seconds.
The time taken is:
\[ 155 \text{ seconds} - 152 \text{ seconds} = 3 \text{ seconds} \]
Step 3: Calculate the Speed
Using the distance and time in the speed formula:
\[ \text{Speed} = \frac{17.6667 \text{ m}}{3 \text{ s}} \approx 5.8889 \text{ m/s} \]
Conclusion
The speed of the hockey puck is approximately 5.89 meters per second.