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Warm Up Describe the motion of the person.
Find the velocity of the person at each interval.
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Warm Up Describe the motion of the person.
Stands still, moves away, stands still, moves toward Find the velocity of the person at each interval. 0 m/s , 0.4 m/s, 0 m/s, 0.25 m/s
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Definition: Change in velocity
Acceleration Definition: Change in velocity
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Speed vs. Velocity Revisited
Speed = how fast on object is moving Velocity = how fast an object is moving in a certain direction Velocity speed direction
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Definition: Change in velocity
Acceleration Definition: Change in velocity Can be change in speed OR direction (speed up, slow down, or change direction)
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Is this ball accelerating??
Yes! Because it is changing direction!
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Quick Checks What is acceleration?
Acceleration can be a change in ____ or ____. Is there acceleration in these situations? Why? A car speeding from red light to red light. A car on the freeway. A pendulum A car doing donuts.
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Acceleration Acceleration is not just a change in velocity, it’s how fast that change happens.
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Acceleration = ∆v/t Definition: Change in velocity Acceleration
Can be change in speed or direction (speed up, slow down, or change direction) Acceleration = ∆v/t
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Units for Acceleration
a = ∆v t a = m/s a = m/s s min a = m/s2 a = m/s/min a
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Acceleration Δv = vf - vi
Initial Velocity (vi) – An object’s velocity when you start measuring acceleration Final Velocity (vf) – An object’s velocity when you finish measuring acceleration Δv = vf - vi
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Acceleration = ∆v/t Definition: Change in velocity Acceleration
Can be change in speed or direction (speed up, slow down, or change direction) Acceleration = ∆v/t ∆v = vf – vi
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Acceleration Positive acceleration = speeding up
Negative acceleration = slowing down
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Practice! A roller coaster’s velocity at the top of a hill is 10m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26m/s. What is the acceleration of the roller coaster?
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Use GUESS! G: vf = 26 m/s vi = 10 m/s t = 2 s U: acceleration E: acceleration = ∆v/ t S: a = 26m/s – 10m/s 2 s S: a = 16m/s 2s a = 8m/s/s or 8m/s2 A roller coaster’s velocity at the top of a hill is 10m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26m/s. What is the acceleration of the roller coaster?
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Quick Checks A car travels at 60 miles per hour around a curve. Is the car accelerating? A car travels in a straight line at 60 mi/hr. Is the car accelerating? A car goes from 0 mph to 60 mph in 6 seconds. What’s the car’s acceleration?
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Let’s make it a bit harder…
If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s2 for 3 seconds, what would its final velocity be?
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Homework Speed, Velocity, Acceleration ws
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Exit Question What is the final velocity of a car that starts at 10 m/s, then accelerates at 5 m/s/s for 10 seconds? USE GUESS!! 60 m/s
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