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Unformatted text preview: R11Physics IReview 1Review NotesExam 1Rev. 26Sep04 GBR12DefinitionsScalar:A number – positive, negative, or 0.Magnitude:Absolute value – positive or 0.Vector:Magnitude (or length) and direction in space.Time:t (scalar)Position:x(vector)Displacement:xxx=∆Time interval:ttt=∆R13Definitions (Continued)Average or mean velocity is defined as follows:txttxxvavg∆∆≡≡Instantaneous velocity or just “velocity”:tdxdtxlimvt≡∆∆≡→∆R14Definitions (Continued)Average acceleration is defined as follows:tvttvvaavg∆∆≡≡Instantaneous acceleration or just “acceleration”:22ttdxdtdvdtvlima≡≡∆∆≡→∆R15Class #1TakeAway Concepts1D Equations of Motion for Constant AccelerationBasic Equations1. (29ttavv+=2. 221)tt(a)tt(vxx++=Derived Equations3. )tt)(vv(xx21++=4. 221)tt(a)tt(vxx+=(compare with 2.)5. (2922xxa2vv+=R16Problem Solving Strategy forProjectile MotionMake a table, see what you know and what you need to find.XYavxor yvfxfor yfttSAMESAMEThe common factor in both the X and Y equations is thetime at which something happens (last row).R17Hit the Falling Target DiagramdhθThe target will drop at the instantthe ball leaves the launcher.The objective is to adjust the angle θso that the ballhits the falling target.R18Hit the Falling TargetTable of Kinematic QuantitiesX ballY ballY targetaggvvcos(θ)vsin(θ)xor yhvfvcos(θ)??xfor yfd?Same as ball.tt?SAMESAMEWe have all data in the “X ball” column except time.Solve for that first.R19Hit the Falling TargetSolving for Time)cos(vd)tt()tt()cos(vxxfθ=→θ+=We don’t care what vfis for the ball or target (Y).X ballY ballY targetaggvvcos(θ)vsin(θ)xor yhvfvcos(θ)(don’t care)(don’t care)xfor yfd?Same as ball.ttd/[vcos(θ)]SAMESAMENext, use the kinematics equation to find yf.R110Hit the Falling TargetSolving for Final Y PositionY ball:2f)cos(vdg21)cos(vd)sin(vyθθθ+=Y target:2f)cos(vdg21hyθ+=Setting the two expressions equal, the “g” terms cancel and we are left withh)cos(d)sin(=θθORdh)tan(=θR111Class #2TakeAway Concepts1.X and Y motions are independent.2.In projectile motion problems, the acceleration isconstant = 9.8 m/s2down (normally Y direction).3.Strategy for solving projectile motion problems:Create a table, fill in known quantities, work on findingunknown quantities....
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This note was uploaded on 02/23/2011 for the course ERTH 4180 taught by Professor Desimone during the Spring '11 term at Rensselaer Polytechnic Institute.
 Spring '11
 DeSimone

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