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Today I will: Define free fall Define gravity Determine the instantaneous position and velocity of an object (how far and how fast)
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Free Fall Free fall – an object that is only acted upon by gravity
(air resistance is to small to account for it) Free fall is for objects moving down and UP
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What is gravity? Gravity is a force that causes an acceleration (a change in velocity over time)
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Falling Objects Near the surface of the Earth, all objects experience approximately the same acceleration due to gravity. **This is one of the most common examples of motion with constant acceleration.
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Falling Objects In the absence of air resistance, all objects fall with the same acceleration --can be hard to tell by testing in an environment where there is air resistance.
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Figure 2-20 A rock and a feather are dropped simultaneously (a) in air, (b) in a vacuum.
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Ball and a feather Hammer and a feather
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The acceleration due to gravity at the Earth’s surface is approximately 9.80 m/s2. (Note: it acts downward so it is negative)
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Complete this statement:
What goes up must….
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Why?
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What happens to objects as they move up?
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How fast The instantaneous velocity of an object at any moment while in flight 𝒗 𝒇 = 𝒗 𝒊 + at Start with 3rd, 6th and 8th NOTE: The velocity we are finding is the instantaneous velocity which means it’s the velocity at that instant in time; it takes a full second to get to change your speed by 10 m/s
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Today I will: Determine how fast and how far an object is falling at any second in time
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How far The distance an object travels while in free fall
NOTE: The average velocity can not be used to find distance….its only the velocity at that second in time (we can not just plug into d = vt!)
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To find how far: Δd = vit + ½ agt2 Special Note:
Remember Δd = df - di Special Note: For many problems we are starting from rest so our initial velocity (vi) is equal to zero; look for information in the problem
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CDP Make sure you use -10 𝑚 𝑠 2 at all times!
Note: Whatever 𝑣 𝑖 is to start; that is the 𝑣 𝑖 for the object the entire time in flight
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Today I will: Explain the motion of an object in free fall in terms of time, velocity, distance and acceleration Review the 4 basic kinematic equations Solve motion problems for v, d and t
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Kinematic Equations 𝒗 𝒇 = 𝒗 𝒊 + at ∆𝒅= 𝒗 𝒊 t + 𝟏 𝟐 a 𝒕 𝟐 Equation 1:
Remember Δd = df - di Equation 3: Equation 4: **Used rarely
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Looking at the equations in more detail…
vf vi df di a t Equation 1 Equation 2 Equation 3
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Oct 24, 2012 Today I will: Apply the concepts of free fall motion to solving motion problems for v, d and t using the appropriate kinematic equation
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Example Free Fall Problems
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PE 9-14
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