Hint 1 Hint 2 A diver bounces straight up from a diving board, avoiding the diving board on the way down, and falls feet first into a pool. She starts with a velocity of 3.55 m/s and her takeoff point is 1.80 m above the pool.

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Chapter1: Units, Trigonometry. And Vectors
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**Question 12**

*A diver bounces straight up from a diving board, avoiding the diving board on the way down, and falls feet first into a pool. She starts with a velocity of 3.55 m/s and her takeoff point is 1.80 m above the pool.*

a. What is her highest point above the board?
____ m

b. How long a time are her feet in the air?
____ s

c. What is her velocity when her feet hit the water?
____ m/s

*Hint 1* | *Hint 2*

---

**Explanation:**

In this problem, we are exploring the kinematic equations of a diver jumping off a diving board. The diver's initial velocity, the distance from the takeoff point to the pool, and the acceleration due to gravity, which is -9.81 m/s², play essential parts in solving the questions provided.

**Hints** can be clicked for further guidance on the techniques and formulas that may be useful for solving each part of the problem. The provided hints aim to lead closer to finding the maximum height, the time of flight, and the final velocity when the diver's feet hit the water. 

Each part of the problem focuses on a different kinematic quantity:
- Part (a) asks for the maximum height above the board.
- Part (b) asks for the total time the diver is airborne.
- Part (c) asks for the diver's velocity upon hitting the water.
Transcribed Image Text:**Question 12** *A diver bounces straight up from a diving board, avoiding the diving board on the way down, and falls feet first into a pool. She starts with a velocity of 3.55 m/s and her takeoff point is 1.80 m above the pool.* a. What is her highest point above the board? ____ m b. How long a time are her feet in the air? ____ s c. What is her velocity when her feet hit the water? ____ m/s *Hint 1* | *Hint 2* --- **Explanation:** In this problem, we are exploring the kinematic equations of a diver jumping off a diving board. The diver's initial velocity, the distance from the takeoff point to the pool, and the acceleration due to gravity, which is -9.81 m/s², play essential parts in solving the questions provided. **Hints** can be clicked for further guidance on the techniques and formulas that may be useful for solving each part of the problem. The provided hints aim to lead closer to finding the maximum height, the time of flight, and the final velocity when the diver's feet hit the water. Each part of the problem focuses on a different kinematic quantity: - Part (a) asks for the maximum height above the board. - Part (b) asks for the total time the diver is airborne. - Part (c) asks for the diver's velocity upon hitting the water.
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