# [PHYS 101] - Midterm Exam Guide - Comprehensive Notes for the exam (10 pages long!)

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7 Feb 2017
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Drexel
PHYS 101
MIDTERM EXAM
STUDY GUIDE
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PHYS 101 LECTURE NOTES WEEK 2
Spencer Kociba
Drexel University
Lecture 3 (01/17/17)
Chapter 2: Motion Along a Straight Line
Dot/Scalar Products
                  
   ,   ,   
Because     so   
         
Vectorial/Cross Products
A x B=C
B x A=-C
      
        
     
Displacement: the vector between the starting and ending point of an object’s path
In a straight line:    and    
Distance: length of the total path traveled
Kinematics: study of motion
Average velocity: 

If the x coordinate is...
Velocity is...
Direction
Positive and increasing
+
+x
Positive and decreasing
-
-x
Negative and increasing
+
+x
Negative and decreasing
-
-x
Instantaneous velocity: velocity at a specific point (of time or position)

Slope of tangent line on an x(t) graph
Acceleration
Average acceleration: rate of change of velocity with time
 



  
Lecture 4 (01/19/17)
Instantaneous acceleration is 
    
    
Signs are the same
    
Signs are the opposite
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If the x-velocity is
The acceleration is
+ And increasing
+ (moving in +x direction and speeding up)
- And decreasing
- (moving in +x direction and slowing down)
- And increasing
+ (moving in -x direction and slowing down)
- And decreasing
- (moving in -x direction and speeding up)
Slope of velocity is the average x-acceleration
If acceleration is positive, velocity is concave up (increasing)
If acceleration is negative, velocity is concave down (decreasing)
If acceleration is 0, velocity is at a max or a min
It is still possible to be moving with 0 acceleration (you are just moving
at a constant rate)
Motion with constant acceleration
a(t) graph is a horizontal line (slope is 0)
Area under a(t) graph is the change in velocity from time 0 to time t
v(t) graph is a line with a single slope (the x-acceleration)
Area under v(t) graph is the distance traveled (  , the change in
x-coordinate from time 0 to time t
x(t) graph is a parabola
Equations to know
     Includes t, v, and a (no x)
  
Includes t, x, and a (no v)
     Includes x, v, and a (no t)
 
   Includes t, x, and v (no a)
Free fall
Any kind of motion in vertical direction in which the only forces acting on an
object are gravity and air resistance
Air resistance is usually neglected
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