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.
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**.
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
### 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**.