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Chapter 4

Motion in Two or Three Dimensions

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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 position …
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To calculate other physical quantities in kinematics, the time variable must be introduced. The time variable not only allows us to state where an object …
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In everyday conversation, accelerating means speeding up. Acceleration is a vector in the same direction as the change in velocity, Δv, therefore the …
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Acceleration occurs when velocity changes in magnitude (an increase or decrease in speed), direction, or both. Although acceleration is in the direction …
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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 …
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Projectile motion is commonly observed in our day-to-day life. For example, a basketball thrown by a player, an arrow shot from a bow, and kids jumping …
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The theory of projectile motion is very useful for players of several sports to improve their performance. For example, a javelin thrower needs to throw …
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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 propeller …
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In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all …
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The understanding of the concept of reference frames is essential to discuss relative motion in one or more dimensions. When we say that an object has a …
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Relative velocity is the velocity of an object as observed from a particular reference frame, or the velocity of one reference frame with respect to …
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Two apparatuses for examining liquid jet impingement on a high-speed moving surface are described: an air cannon device (for examining surface speeds …
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3D-PTV is a quantitative flow measurement technique that aims to track the Lagrangian paths of a set of particles in three dimensions using stereoscopic …
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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 fluorescence …