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Unformatted text preview: m Physics I-Fall Semester 2007 1-d Kinematics: average velocity =-- x2 x1t2 t1 instantaneous velocity = = + - ( ) = limt 0xt xt t x t t dxdt average acceleration =-- v2 v1t2 t1 instantaneous acceleration = lim = + - ( ) = t 0vt vt t v t t dvdt Uniform Acceleration Important Equations: = at constant , a=9.80 m/s 2 for gravity = + vt v0 at = + + xt x0 v0t 12at2 = +- v2 v02 2ax x0 , only if a is a constant Problem Solving Steps 1. Make a sketch 2. Pick a coordinate system 3. Make a table of all given information 4. Pick the equation and solve 5. Check against common sense Kinematics in Two Directions: average velocity: = v rt instantaneous velocity: = v limt 0drdt Major Equations: For Uniform Acceleration: = rt + + r0 v0t 12at2 = + vt v0 at = at constant Projectile Motion: x-components y-components = ax 0 =- . / ay 9 8 m s2 = vx v0x = + vy v0y ayt = + x x0 v0xt = + + y y0 v0yt 12ayt2 Horizontal Range Equation: = ( ) R v02gsin 2 For Uniform Circular Motion: velocity=constant, v is tangent to the circular trajectory = v 2rT acceleration = v2r , a points toward center of rotation frequency = 1T Relative Velocity Rules: 1. =- VAB VBA 2. = + VAC VAB VBC 3. 4. Forces: 5. Newtons Laws: 1. An object will continue in a state of rest or in a state of uniform motion, unless acted on by one or more forces 2. = F ma 3. ( )=- ( ) F A on B F B on A 4. Weight (F g ) 5. Magnitude: = Fg mg , where g=9.8 m/s 2 6. Direction: down or towards center of Earth 7. Normal Force (F N ) 8. Force that prevents two objects from passing through each other...
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