A swimmer bounces almost straight up from a diving board and falls vertically feet first into a pool. She starts with a speed of 3.2 m/s, and her takeoff point is 1.85 m above the pool's surface. For how long are her feet in the air, in seconds? What is the height above the board, in meters, of her highest point? What is her velocity, in meters per second, when her feet hit the water? Assume the vertical component of the velocity is positive upwards.
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.
A swimmer bounces almost straight up from a diving board and falls vertically feet first into a pool. She starts with a speed of 3.2 m/s, and her takeoff point is 1.85 m above the pool's surface.
For how long are her feet in the air, in seconds?
What is the height above the board, in meters, of her highest point?
What is her velocity, in meters per second, when her feet hit the water? Assume the vertical component of the velocity is positive upwards.
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