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What was one of Aristotle’s many wrong conclusions?
that heavy objects fall faster than light objects
What was the conclusion about heavy and light objects falling time?
objects accelerate at the same rate despite their mass
What causes certain objects to fall faster or slower?
air resistance
Aristotle
Ancient Greece, approached science, especially classification, logically. However, he got some physics concepts wrong
What did ibn Al-Haytham argue for?
empiricism (observation and experimentation)
What did ibn Al-Haytham do?
he worked in optics. He designed experiments to prove that the eyes don’t shoot out rays to see things
What did Galileo Galilei establish?
that heavier objects don’t free fall faster by dropping two items from the Leaning Tower of Pisa
What did Galileo theorize?
that air resistance slowed feathers from falling faster rather than lack of mass
What is the order of the 3 philosophers we talked about?
Artistotle, ibn Al-Haytham, Galileo Galilea
What does constant acceleration look like on a spark tape?
dots start off close together then move to be very spread out
What is acceleration?
change in velocity
What is velocity?
speed with direction
What is air resistance?
a subset of friction
What are the 3 equations at the top of the formula sheet?
kinematics equations
What is kinematics?
the study of motion/moving objects
What is the variable v?
velocity
What is the variable x?
distance
What is the variable a?
acceleration
What is the variable t?
time
What should you do when you graph data and create a line of best fit?
ignore the actual data and only use the line of best fit
What does a time vs velocity graph generally look like?
linear
What does a time vs position/distance graph generally look like?
quadratic
What are the 5 ways to model motion?
Numerically (table), oil drop, equations, motion graphs (position vs time and velocity vs time)
What is direction indicated by?
positive and negative
If you’re not given in a problem which way is positive or negative then…
it is your choice
What does it mean when signs of velocity and acceleration are opposite?
the object is slowing down
What does it mean when signs of velocity and acceleration are the same?
the object is speeding up
What are vectors?
measurements that have both magnitude and direction (ex. velocity, displacement, force)
What are scalars?
measurements having only magnitude (ex. mass, temperature, distance, speed)
What does the slope of a position vs time graph give you?
speed/velocity
How do you find the velocity from a position vs time graph?
calculate the slope as you normally would
What does the slope of a velocity vs time graph give you?
acceleration
What does the area under a velocity vs time graph give you?
distance/displacement
What are the steps to solving an equation?
Draw it, list knowns/unknowns, pick an equation, rearrange the equation if necessary, plug in and solve, reality check
What are the two kinds of tensors?
vectors and scalars
What is magnitude?
a numerical value
What are vectors represented with?
an arrow
If not given a specific frame of reference, what should you use?
the surface of the Earth
When do you use a frame of reference?
when dealing with anything relative
What is a frame of reference?
a perspective or viewpoint for observing motion, that captures movement from a particular point.
If not given a specific coordinate system, what do you do?
you define it. Assume it’s a visual x-y plane
What does negative velocity mean?
the object (its velocity) is moving in the negative direction
What does negative acceleration mean?
the object is accelerating in the negative direction
What is the variable g?
gravity on Earth
What does acceleration tell us?
if velocity change is constant or just how it is changing
When does instantaneous speed equal the average speed?
at the midpoint
What conclusion can be made from comparing the slopes of a position vs time2 graph and a velocity vs time graph?
the slope of the position vs time2 graph is half the slope of the velocity vs time graph. We can conclude that they are the same slopes based on the scale of the numbers
What is the acceleration value due to gravity?
10 m/s2
True or false: with no air resistance, a feather and a rock will fall with the same acceleration
True
True or false: an object can have a negative position
true
True or false: an object can have a negative velocity
true
True or false: an object can have a negative acceleration
true
Is it possible to have positive velocity and negative acceleration?
Yes, it means it’s slowing down
Is it possible to have zero velocity and negative acceleration?
Yes. For example, when throwing a ball, always accelerating at the same rate but before it goes back down at the top, it stops (0 velocity)
What does displacement depend on?
direction
True or false: a negative acceleration means that an object must be slowing down
false
If an object has zero velocity and zero acceleration then it must be…
stationary (not moving)
If an object has positive velocity and zero acceleration then it must be…
moving with a constant speed
If an object has positive velocity and positive acceleration then it must be…
speeding up
If an object has negative velocity and positive acceleration then it must be…
slowing down
The idea of acceleration may be characterized in the equivalent words of…
rate of change of velocity
A basketball player jumps to make a shot. Once her feet are off the ground, the jumper’s acceleration…
is exactly g
A ball is thrown straight up. At the top of its path, it’s speed is…
0 m/s2
A ball is thrown straight up. At the top of its path, it’s acceleration is…
about -10 m/s2