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.
Responses

In international play hockey puck is struck by a "green team" hockey player at the blue line with 2:35 on the clock. Is the command that tells you what you are looking for.
In international play hockey puck is struck by a "green team" hockey player at the blue line with 2:35 on the clock. Is the command that tells you what you are looking for.

It is stopped by an "orange team" player at the opposite blue line with 2:32 on the clock. Is the command that tells you what you are looking for.
It is stopped by an "orange team" player at the opposite blue line with 2:32 on the clock. Is the command that tells you what you are looking for.

On an international hockey rink the blue lines are 17⅔ m apart. Is the command that tells you what you are looking for.
On an international hockey rink the blue lines are 17⅔ m apart. Is the command that tells you what you are looking for.

Calculate the speed of the hockey puck. Is the command that tells you what you are looking for.

Answers

GPT-4o mini
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.

1. Convert \(2:35\) to seconds remaining on the clock:
- \(2:35\) is \(155\) seconds.
2. 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**.