A lead ball is dropped into a lake from a diving board 5.40 m above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 3.40 s after it is released. ▾ Part A How deep is the lake? Express your answer with the appropriate units. Value Submit HA Provide Feedback Units Request Answer S ?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
 
**Answer:**
- **Value:**
- **Units:**
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**Note:** There are no graphs or diagrams included in this item. The problem primarily focuses on textual information and requires the student to apply principles of physics related to kinematics and vectors to solve the problem.
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![# Educational Resource: 1D Kinematics and Vectors
## Homework Assignment: Item 9
### Objective
Your goal in laboratory is to launch a ball of mass m straight up so that it reaches exactly height h above the top of the launching tube. You and your lab partners will earn fewer points if the ball goes too high or too low. The launch tube uses compressed air to accelerate the ball over a distance d, and you have a table of data telling you how to set the air compressor to achieve a desired acceleration.
### Part A
**Task**: Find an expression for the acceleration that will earn you maximum points.
Express your answer in terms of some or all of the variables \(m\), \(h\), \(d\), and free-fall acceleration \(g\).
#### Answer Submission
\[ a = \]
(Enter your answer into the provided text box)
[Submit]
[Provide Feedback]
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