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WELCOME Industry Certifications Miami Dade County vs. State of Florida ICE Passing Rate 20 4 20 5 ICE Earned Industry Certification Updates Digital Tool vs. Certification Test Administration Procedures in consideration of 20 5 20 6 ICE Data Collection Findings Career Themed Course Registration ALL Printed Documents in consideration of the Public Diversified/OJT Education T eachers

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What is an Instant of Time? 5 A Mathematical Model of Motion Using a Graph so that Find Out Where in addition to When (Pick various locations) Graphing the Motion of Two or More Objects From Graphs so that Words in addition to Back Again Uniform Motion In consideration of Objects alongside Diff. Velocities Using an Equation so that Find out Where in addition to When d = di + vt Problem (PP ) 2 (PP 2) 5.2 Graphing Velocity in One Dimension, Determining Instantaneous Velocity Velocity Time Graphs 5.3 Acceleration Determining Average Acceleration Constant in addition to Instantaneous Acceleration Instantaneous Acceleration of a Velocity Time Graph, Curved Line Draw graph on board. Positive in addition to Negative Acceleration Calculating Velocity from Acceleration v = vo + at Problem Displacement Under Constant Acceleration d = di + «(vf + vi)t d = di + vit + /2at2 v2 = vi2 + 2a(df di) 5.4 Free Fall Acceleration Due so that Gravity Drop A Rock Drop a Rock Diagram DIAGRAM Diagram/ Thrown Upward Quadratic Equation

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What is an Op Amp? The Surface What is an Op Amp? The Layout What is an Op Amp? The Inside History of the Op Amp The Dawn History of the Op Amp The Dawn History of the Op Amp The Shift History of the Op Amp The Shift Mathematics of the Op Amp Op Amp Saturation 74 Op Amp Schematic Op Amp Characteristics Ideal Op Amp Characteristics Ideal Op Amp Analysis Inverting Amplifier Analysis Non Inverting Amplifier Analysis Op Amp Buffer Op Amp Differentiator Op Amp Integrator Op Amp Summing Amplifier Op Amp Differential Amplifier Applications of Op Amps Applications of Op Amps Applications of Op Amps Strain Gauge Strain Gauge Applications of Op Amps Applications PID Controller System Circuit Diagram Applications PID Controller PID Controller Circuit Diagram Applications of Op Amps Applications of Op Amps References References

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What is energy? The Law of Conservation of Energy The total amount of energy of an isolated system remains the same. That is, energy can be converted from one form so that another but it can?t be created or destroyed. Practice Two pendulums alongside the same mass swing side by side. When each reaches the bottom of the swing, the speed of “A” is twice the speed of “B”. Find the ratio of the starting heights of ?A? in addition to ?B?. Newton?s cradle puzzle Two balls are released from one end. Why not one ball flies off the other end alongside twice the velocity? The total momentum would still be conserved in that case. A 0.30 kg ball alongside a speed of 2.0 m/s has a head on elastic collision alongside a stationary 0.70 kg ball. What are the velocities of the balls after collision?

What is energy?–Ability so that do work!in consideration ofms of energyThermal Energythe kinetic energy of atoms in addition to molecules (remember, ?heat? is the transfer of this energy between systems)Chemical energyenergy associated alongside electronic structure of atoms in addition to the electromagnetic in consideration of forceNuclear energyenergy associated alongside nuclear structure of atoms in addition to the strong nuclear in consideration of forceElectrical energyassociated alongside an electric current (kinetic energy of electrons in a conductor)Radiant (light) energyenergy associated alongside photons of lightMechanical energyassociated alongside the movement of position of physical bodies (kinetic in addition to potential energy) Energy can be categorized into two main classes:Kinetic energy? energy a body has because it is movingKinetic energy is a scalar quantity alongside unit of Joules (Newton*Meter) Since it involves velocity, it depends on the frame of referencePotential Energy: energy that is stored in a body.Gravitational potential energy: Energy associated alongside gravitational in consideration of force. That is, energy that goes into lifting an object is stored in the object as gravitational potential energy. It?s a scalar quantity alongside unit of Joules (Newton*Meter).Gravitational potential energy is relative because h is relative. A reference height has so that be set first.Change of gravitational energy doesn?t depend on the path, only height. (conservative in consideration of forces) PracticeA ball of mass m collides into a stationary ball alongside the same mass at a velocity of v. Suppose the collision is elastic collision. What are the velocities of the two balls after the collision? What is the total kinetic energy of the system bein consideration ofe collision?What is the total kinetic energy of the system after collision?Is the total kinetic energy conserved? PracticeA ball of mass m collides into a stationary ball alongside the same mass at a velocity of v. Suppose the collision is completely inelastic collision. What are the velocities of the two balls after the collision? What is the total kinetic energy of the system bein consideration ofe collision?What is the total kinetic energy of the system after collision?Is the total kinetic energy conserved? PracticeDrop a ball of 1 kg mass from a height of 10 meters. Compute the potential energy bein consideration ofe it is dropped in addition to the kinetic energy just bein consideration ofe it hits the floor. Are they the same? The Law of Conservation of EnergyThe total amount of energy of an isolated system remains the same. That is, energy can be converted from one in consideration ofm so that another but it can?t be created or destroyed.PracticeTwo pendulums alongside the same mass swing side-by-side. When each reaches the bottom of the swing, the speed of “A” is twice the speed of “B”. Find the ratio of the starting heights of ?A? in addition to ?B?. PracticeYou have been asked so that make a roller coaster more exciting. The owners want the speed at the bottom of the first hill doubled. How much higher must the first hill be built?Warm Up: Two balls of the same mass roll down two slopes (one steeper than the other) from the same height. Do they have the same velocity when they reach the bottoms? (ignore friction). If not, which one has a bigger velocity at the bottom?Newton?s cradle puzzleTwo balls are released from one end. Why not one ball flies off the other end alongside twice the velocity? The total momentum would still be conserved in that case. PracticeA pendulum is released from a position 30 degrees from the vertical. The string is 2 meters long. What is its speed when it reaches the bottom position if its mass is 1 kg? 222 -PracticeA 0.30 kg ball alongside a speed of 2.0 m/s has a head-on elastic collision alongside a stationary 0.70 kg ball. What are the velocities of the balls after collision?

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What is speed? Speed is a measure of how far an object moves in a given time. This jet is travelling at 350 m/s.

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What is speed? So that calculate average speed Velocity Question Negative velocity in addition to speed Combining vectors in D Vectors

What is speed? Speed: how fast something is moving or how much distance is covered in a certain amount of time. We will discuss two types of speed: Instantaneous speed: An object?s speed at any given instant. Average speed: An average of all instantaneous speeds. So that calculate average speed average speed = total distance/time s = d/t If you cover 75 m in 3 sec, how fast are you going? Answer: 25 m/s If you travel 20 m/s in consideration of 10 m, how long did it take you? Answer: .5 s Velocity Velocity is the same as speed, but it has a direction associated. Speed has no specific direction. Question Can something have a constant speed but a changing velocity? Yes. All it has so that do is turn. Remember: Velocity includes direction; speed does not. Negative velocity in addition to speed Is it possible in consideration of something so that have a negative velocity? Yes, it means it is going backward. Is it possible in consideration of something so that have a negative speed? No, there is no specific direction. Backward is arbitrary. You pick which way you want so that be positive in any given problem. Combining vectors in 1-D First, simply add them together. If you walk 5 miles north, 2 miles south in addition to 3 miles north, what distance have you walked? What is your displacement? Distance: 10 m Displacement: 6 m N If you are walking toward the back at 1 m/s on a bus that is moving 10 m/s You are moving 9 m/s (in consideration ofward) Note: You cannot combine speeds. Vectors Vectors are units alongside a direction associated alongside them. Distance: no direction Displacement: distance alongside a direction If you walk 5 m north in addition to 2 m south, what distance have you walked? What is your displacement? Distance 7 m; displacement 3 m N

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The Enterprise Desktop alongside Microsoft? Enrolment in consideration of Education solutions Be the school of tomorrow today