The height h in feet reached by a dolphin t seconds after breaking the surface of the water is given by h = -16t2 + 32t. How long will it take the dolphin to jump out of the water and touch the trainer's hand when h = 16? See Example 1. t = sec --- --- ---

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Dolphin Jump Height Calculation

The height \( h \) in feet reached by a dolphin \( t \) seconds after breaking the surface of the water is given by:

\[ h = -16t^2 + 32t. \]

To determine the time it will take for the dolphin to jump out of the water and touch the trainer's hand when \( h = 16 \), please refer to Example 1 for the detailed procedure.

##### Problem:
How long will it take the dolphin to jump out of the water and touch the trainer's hand when \( h = 16 \)?

\[ t = \_\_\_\_\_\_ \text{ sec} \]

---

#### Diagram Explanation:

In the diagram, a dolphin is shown leaping out of the water in an aquatic performance setting. The dolphin is reaching for the trainer's hand, which is elevated above the water surface. The height \( h \) represents the vertical distance from the water surface to the dolphin's touching point, illustrated by a red vertical arrow. Next to the graphical representation, there is a field for entering the calculated time \( t \).

---

Ensure to solve the equation \( h = -16t^2 + 32t \) for \( h = 16 \) to find the value of \( t \) which represents the time in seconds.
Transcribed Image Text:### Dolphin Jump Height Calculation The height \( h \) in feet reached by a dolphin \( t \) seconds after breaking the surface of the water is given by: \[ h = -16t^2 + 32t. \] To determine the time it will take for the dolphin to jump out of the water and touch the trainer's hand when \( h = 16 \), please refer to Example 1 for the detailed procedure. ##### Problem: How long will it take the dolphin to jump out of the water and touch the trainer's hand when \( h = 16 \)? \[ t = \_\_\_\_\_\_ \text{ sec} \] --- #### Diagram Explanation: In the diagram, a dolphin is shown leaping out of the water in an aquatic performance setting. The dolphin is reaching for the trainer's hand, which is elevated above the water surface. The height \( h \) represents the vertical distance from the water surface to the dolphin's touching point, illustrated by a red vertical arrow. Next to the graphical representation, there is a field for entering the calculated time \( t \). --- Ensure to solve the equation \( h = -16t^2 + 32t \) for \( h = 16 \) to find the value of \( t \) which represents the time in seconds.
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