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These class notes cover the topics of vectors, two-dimensional motion, and related concepts such as adding and subtracting vectors, multiplying or dividing a vector by a scalar, and motion in two dimensions. The notes also include information on position and displacement vectors, velocity vectors, and acceleration. From a physics 141 class and includes equations and diagrams.
Typology: Study notes
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Example: Spheres randomly going left or right as they fall down. After about 10 left-right decisions, on average the sphere will be in the center, but it may also be a bit to the left or to the right. Now, if 100 spheres are dropped, we can predict how many will end up straight down, and how many will end up one right, two right, one left etc.
Statistics: Can predict what happens on average, and what the probabilities are for a single sphere, even though we can’t predict what exactly a single sphere will do!
Vertical direction: y
Gravitational acceleration: g = 9.8 m/s 2
Objects starts at position y (^) i with velocity v (^) i
At time t , it is at positon y(t)
Chapter 2
Note: this is x-y graph, not x-time graph!
First – define vectors…
x-y graph
Chapter 3+
Example: velocity
Example: speed
Chapter 3
Magnitude r
Direction: θ generally counter clockwise from positive x axis
Chapter 3
Chapter 3
Magnitude: Original vector magnitude multiplied or divided by the scalar
Direction: Positive scalar – same as original direction Negative scalar – opposite direction as original
Chapter 3
Position vector r relative to origin
Displacement: change in position Δ r = r f – r i
Question: Assuming the particle moves at constant speed, plot x vs time x-y graph
Chapter 4
Instantaneous velocity v
0
t
Chapter 4
0
t
Chapter 4