Chapter 4
Motion in Two or Three Dimensions
To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the…
To calculate other physical quantities in kinematics, the time variable must be introduced. The time variable not only allows us to state where an…
Acceleration occurs when velocity changes in magnitude (an increase or decrease in speed), direction, or both. Although acceleration is in the…
An object thrown in the air follows a parabolic path under the influence of Earth's gravitational force. The motion of such an object is called…
The theory of projectile motion is very useful for players of several sports to improve their performance. For example, a javelin thrower needs to…
Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. For example, any point on a…
3D-PTV is a quantitative flow measurement technique that aims to track the Lagrangian paths of a set of particles in three dimensions using…
Two apparatuses for examining liquid jet impingement on a high-speed moving surface are described: an air cannon device (for examining surface speeds…
Preparation and 3D Tracking of Catalytic Swimming Devices
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We report a method to prepare catalytically active Janus colloids that "swim" in fluids and describe how to determine their 3D motion using…