Question

Question

In international play hockey puck is struck by a "green team" hockey player at the blue line with 2:35 on the clock. It is stopped by an "orange team" player at the opposite blue line with 2:32 on the clock. On an international hockey rink the blue lines are 17⅔ m apart. Calculate the speed of the hockey puck.
2:35 is the distance traveled.
2:35 is the distance traveled.

2:32 is the distance traveled.
2:32 is the distance traveled.

17⅔ m is the distance traveled.

Answer 1

To calculate the speed of the hockey puck, we need to find out the time it took for the puck to travel the distance between the two blue lines and then calculate the speed using the formula for speed:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Step 1: Convert the time

The time between 2:35 (2 minutes and 35 seconds) and 2:32 (2 minutes and 32 seconds) can be calculated as follows:

• 2:35 = 2 minutes and 35 seconds = \(2 \times 60 + 35 = 155\) seconds
• 2:32 = 2 minutes and 32 seconds = \(2 \times 60 + 32 = 152\) seconds

Thus, the time it took for the puck to travel from one blue line to the other is:

\[ \text{Time} = 152 \text{ seconds} - 155 \text{ seconds} = 3 \text{ seconds} \]

Step 2: Determine the distance

The distance between the two blue lines is given as \(17 \frac{2}{3}\) meters. To convert this to a decimal:

\[ 17 \frac{2}{3} = 17 + \frac{2}{3} = 17 + 0.6667 \approx 17.6667 \text{ meters} \]

Step 3: Calculate the speed

Now, use the formula for speed:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{17.6667 \text{ m}}{3 \text{ s}} \]

Calculating this gives:

\[ \text{Speed} \approx 5.8889 \text{ m/s} \]

Conclusion

The speed of the hockey puck is approximately 5.89 m/s.