A ball is tossed upward. Its height after t seconds is given in the table. $$\begin{array} { l | r r r r r }
\text { Time (seconds) } & 0.5 & 1 & 1.5 & 2 & 2.5 \
\hline \text { Height (feet) } & 26.5 & 39.5 & 44.5 & 41.5 & 30.5
\end{array}$$ Find a quadratic function to model the data. Use the model to determine when the ball reaches its maximum height, as well as the value of the maximum height.
A) The ball reaches a maximum height of 44.6 feet in 1.6 seconds.
B) The ball reaches a maximum height of 40 feet in 1.5 seconds.
C) The ball reaches a maximum height of 50 feet in 2.1 seconds.
D) The ball never reaches a maximum height.

Question

A ball is tossed upward. Its height after t seconds is given in the table. $$\begin{array} { l | r r r r r } 
\text { Time (seconds) } & 0.5 & 1 & 1.5 & 2 & 2.5 \
\hline \text { Height (feet) } & 26.5 & 39.5 & 44.5 & 41.5 & 30.5
\end{array}$$ Find a quadratic function to model the data. Use the model to determine when the ball reaches its maximum height, as well as the value of the maximum height.
A) The ball reaches a maximum height of 44.6 feet in 1.6 seconds.
B) The ball reaches a maximum height of 40 feet in 1.5 seconds.
C) The ball reaches a maximum height of 50 feet in 2.1 seconds.
D) The ball never reaches a maximum height.

Quizplus · Accepted Answer

The quadratic function that models the data shows the ball reaches its maximum height of 44.5 feet at 1.5 seconds, which is closest to the given option A.

A Ball Is Tossed Upward Find a Quadratic Function to Model the Data