2 Kinematics 1-d

# 2 Kinematics 1-d - Chapter 2 Kinematics in One Dimension...

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Chapter 2 Kinematics in One Dimension 19 Chapter 2 KINEMATICS IN ONE DIMENSION PREVIEW Kinematics is the study of how things move – how far ( distance and displacement ), how fast ( speed and velocity ), and how fast that how fast changes ( acceleration ). We say that an object moving in a straight line is moving in one dimension , and an object which is moving in a curved path (like a projectile ) is moving in two dimensions . We relate all these quantities with a set of equations called the kinematic equations . The content contained in all sections of chapter 2 of the textbook is included on the AP Physics B exam. QUICK REFERENCE Important Terms acceleration the rate of change in velocity acceleration due to gravity the acceleration of a freely falling object in the absence of air resistance, which near the earth’s surface is approximately 10 m/s 2 . acceleration - time graph plot of the acceleration of an object as a function of time average acceleration the acceleration of an object measured over a time interval average velocity the velocity of an object measured over a time interval; the displacement of an object divided by the change in time during the motion constant (or uniform) acceleration acceleration which does not change during a time interval constant (or uniform) velocity velocity which does not change during a time interval displacement change in position in a particular direction (vector) distance the length moved between two points (scalar) free fall motion under the influence of gravity initial velocity the velocity at which an object starts at the beginning of a time interval

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Chapter 2 Kinematics in One Dimension 20 instantaneous the value of a quantity at a particular instant of time, such as instantaneous position, velocity, or acceleration kinematics the study of how motion occurs, including distance, displacement, speed, velocity, acceleration, and time. position - time graph the graph of the motion of an object that shows how its position varies with time speed the ratio of distance to time velocity ratio of the displacement of an object to a time interval velocity - time graph plot of the velocity of an object as a function of time, the slope of which is acceleration, and the area under which is displacement Equations and Symbols x a v v at t v x t v v x at v v t v v a o o o o o 2 2 1 ) ( 2 1 2 2 2 where Δx = displacement (final position – initial position) v = velocity or speed at any time v o = initial velocity or speed t = time a = acceleration Ten Homework Problems Chapter 2 Problems 2, 10, 13, 30, 40, 43, 58, 59, 73, 78
Chapter 2 Kinematics in One Dimension 21 DISCUSSION OF SELECTED SECTIONS 2.1 Displacement Distance d can be defined as total length moved. If you run around a circular track, you have covered a distance equal to the circumference of the track. Distance is a scalar, which means it has no direction associated with it. Displacement Δx , however, is a

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2 Kinematics 1-d - Chapter 2 Kinematics in One Dimension...

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