Question
A volleyball is served by a 6-foot player at an initial upward velocity of 33 feet per second. The situation is modeled by the equation h = -16t^2 + 33t + 6. What does the variable h represent?
1. -1.03 seconds
2. 1.03 seconds
3. 1.22 seconds
4. 23.01 feet
1. -1.03 seconds
2. 1.03 seconds
3. 1.22 seconds
4. 23.01 feet
Answers
GPT-4o mini
In the equation \( h = -16t^2 + 33t + 6 \), the variable \( h \) represents the height of the volleyball above the ground in feet at time \( t \) seconds after it is served.
Therefore, if you were to evaluate \( h \) for a given time \( t \), it would tell you how high the volleyball is at that specific moment.
Given your options, it appears that none of them represent the variable \( h \) directly. Instead, they could potentially represent certain times or heights at specific instances relevant to the problem. If you need to know the height at a specific time, you'd substitute that time into the equation to find \( h \).
To summarize:
- \( h \) represents the height of the volleyball in feet.
Therefore, if you were to evaluate \( h \) for a given time \( t \), it would tell you how high the volleyball is at that specific moment.
Given your options, it appears that none of them represent the variable \( h \) directly. Instead, they could potentially represent certain times or heights at specific instances relevant to the problem. If you need to know the height at a specific time, you'd substitute that time into the equation to find \( h \).
To summarize:
- \( h \) represents the height of the volleyball in feet.