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KINEMATICS – Motion with constant acceleration. Level 1 Physics. Objectives and Essential Questions. Objectives Define and apply definitions of displacement, avg. velocity, instantaneous velocity, and average acceleration
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KINEMATICS – Motion with constant acceleration Level 1 Physics
Objectives and Essential Questions • Objectives • Define and apply definitions of displacement, avg. velocity, instantaneous velocity, and average acceleration • Demonstrate proficiency in problem solving using kinematic equations including problems involving free-fall • Analyze motion of graphs qualitatively and quantitatively. • Essential Questions • What is displacement? How does it differ from distance? • How is displacement affected by time, velocity, and acceleration? • How is scientific data displayed?
EXAMPLE #1 A speedboat has a constant acceleration of +2.0 m/s2. If the initial velocity of the boat is 6.0 m/s, how fast is the boat moving after 8 seconds?
Equation #2 b. Find the displacement of the boat after the 8 second.
Graphical Representation Area of triangle 22 m/s Area of rectangle Total Displacement = 64 m + 48 m = 112 m 110 m
Equation/Example #3 Example:You are driving through town at 12 m/s when suddenly a ball rolls out in front of your car. You apply the brakes and begin decelerating at 3.5 m/s2. How far do you travel before coming to a complete stop?
Confusion?? How do I know what equation to use and what variable do I need to solve for?
VERTICAL Kinematics All of the 3 previous equations can be applied to the vertical direction simply by adding a few changes. Notice: Since g has a value of 9.8 m/s2 and is directed downward, the positive sign has been replaced with a negative sign.