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Introduction to Kinematics

Introduction to Kinematics. 1-D Motion. Scalar. A SCALAR is ANY quantity in physics that has MAGNITUDE , but NOT a direction associated with it. Magnitude – A numerical value with units. Vector. A VECTOR is ANY quantity in physics that has BOTH MAGNITUDE and DIRECTION.

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Introduction to Kinematics

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  1. Introduction to Kinematics 1-D Motion

  2. Scalar A SCALAR is ANY quantity in physics that has MAGNITUDE, but NOT a direction associated with it. Magnitude – A numerical value with units.

  3. Vector A VECTOR is ANY quantity in physics that has BOTH MAGNITUDE and DIRECTION. Vectors are typically illustrated by drawing an ARROW above the symbol. The arrow is used to convey direction and magnitude.

  4. Defining the important variables Kinematics is a way of describing the motion of objects without describing the causes. You can describe an object’s motion: No matter HOW we describe the motion, there are several KEY VARIABLES that we use.

  5. v+ v 2 0 vav = 1 2 x = v0t+ at2 x = vavt Kinematics: Description of motionKinematic Equations Here are the 5 kinematic equations. We will be using them often - memorize them. position eq'n displacement eq'n velocity eq'n v = v0+ at average velocity eq'n timeless eq'n v2 = v02 + 2ax We'll even give them names:

  6. 1 2 x = v0t+ at2 v = v0+ at v2 = v02 + 2ax Kinematics: Description of motion2-4 Kinematic Equations

  7. 1 2 x = 0(30) + 20(30)2 1 2 x = v0t+ at2 x = v0t+ at2 1 2 (1) How far will Pinky and the Brain have gone in 30.0 seconds if their acceleration is 20.0 m/s2? A good way to solve these problems is to list the things you know, and the thing you want: Kinematics: Description of motion KNOWN FORMULAS (Given) a = 20 m/s2 (Given) t = 30 s v = v0+ at v0 = 0 m/s (Implicit) v2 = v02 + 2ax WANTED SOLUTION x = ? Since t is known, eliminate the timeless eq'n: Since v is not wanted, eliminate the velocity eq'n: x = 9000 m

  8. 1 2 x = v0t+ at2 (2) How fast will Pinky and the Brain be going at this instant? KNOWN FORMULAS Kinematics: Description of motion (Given) a = 20 m/s2 (Given) t = 30 s v = v0+ at v0 = 0 m/s (Implicit) v2 = v02 + 2ax WANTED SOLUTION v = ? Since t is known, eliminate the timeless eq'n: v = v0+ at v = 0+ 20(30) Since x is not wanted, eliminate the position eq'n: v = 600 m/s

  9. 1 2 x = v0t+ at2 (3) How fast will Pinky and the Brain be going when they have traveled a total of 18000. m? KNOWN FORMULAS Kinematics: Description of motion (Given) a = 20 m/s2 (Given) x = 18000 m v = v0+ at v0 = 0 m/s (Implicit) v2 = v02 + 2ax WANTED SOLUTION v = ? Since t is not known, eliminate the position and the velocity eq'n: v2 = v02 + 2ax v2 = v02 + 2a(x) v2 = 02 + 2(20)(18000) v2 = 720000 v = 720000 v = 849 m/s

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