A lead ball is dropped into a lake from a diving board 5.0 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 3.0 s after it is released. How deep is the lake? Visual Representation • Draw a sketch showing important points in the motion • Establish a coordinate system and define symbols • Draw a motion diagram • List knowns and desired unknowns Mathematical Representation • Identify and write down the relevant equation(s), using the symbols defined in your sketch • Solve equation(s) for the desired unknown • Substitute in the known values, including units, and calculate unknown value • Check units and assess if your answer is reasonable
A lead ball is dropped into a lake from a diving board 5.0 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 3.0 s
after it is released. How deep is the lake?
Visual Representation
• Draw a sketch showing important points in the motion
• Establish a coordinate system and define symbols
• Draw a motion diagram
• List knowns and desired unknowns
Mathematical Representation
• Identify and write down the relevant equation(s), using the symbols defined in your sketch
• Solve equation(s) for the desired unknown
• Substitute in the known values, including units, and calculate unknown value
• Check units and assess if your answer is reasonable
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