Chapter one practice problems
What is the vector B = 2A. We can calculate this in vector notation,
Illustrated, B would look like,
We can see that B is going in the same direction as A, but has twice the length (calculate it!). So
multiplying a vector by
Announcements
Exam 1 review session will be held on Thursday 7/7/16
from 5-7pm in a room TBD.
Come for any portion of time that works for you
Bring questions about topics in general or specific
problems
Reminders:
My office hours: M 10-12noon, W 3-5pm
Sup
Announcements
ISQ surveys open & due by 07/29/16
5 bonus points on final exam if we can get 75%
response rate
We are currently at 69%
Only need 5 more people to respond!
Circular motion as a function of time
Circular
An objects position (x- or y- coordina
Announcements
If youre having trouble uploading file to
Blackboard, email it to me BEFORE its
due, but continue to try to upload it to
Blackboard. It wont be counted as late,
but it must be uploaded to Blackboard to
be graded.
Exam 1 is 2 weeks away!
Exam
Welcome to Intro to
Physics!
Today:
Physics
Course
expectations
Syllabus
overview
REEF
polling
Sapling
Learning
prelecture
activities
Supplemental
Instruction info
Education
Research
Pre-
and Post-tests
Learning
strategies
One-on-One
interviews
U
Announcements
Prelecture assignments are due before
class, but they can be turned in late for
75% points. However, they must be turned
in on same day the assignment was due.
Multiple choice questions are graded on
correctness, tutorial worksheets are grad
Announcements
Last
day to withdraw is this Friday
Grade
calculator posted on
Blackboard
the
total points on Blackboard is not a
reflection of your grade!
Must
use the syllabus to know weighting
of different categories OR use grade
calculator
Newtons L
Announcements
Sapling HW 1 is due this Sunday
Exam 1 on Tuesday July 12th
Review session time will be determined
based on Blackboard poll answers
Study materials are available on Blackboard
now
Start with the study guide!
Rubric for tutorial grading is on
Chapter 7
Example
How fast is the particle going, and in what direction, when it hits the ground?
We previously determined that the particle hits the ground at 14.6s. And we can calculate
the speed of the particle via obtaining its velocity vector at that
Position Velocity Acceleration
Lets use the previous lecture, in which we learned how to write out vectors, to describe
the position, velocity and acceleration of a particle. First lets look at position:
Position
There are two complementary ways to descri
Chapter eight practice problems
Example
What is the acceleration of the particle in the x-direction at t = 10s. What is the
acceleration in the y-direction. What is the acceleration vector?
In the x-direction we have:
The acceleration in the y direction i
Chapter 6 practice problems
Example
What is the velocity of the particle in the x-direction at t = 4s? What is its velocity in ydirection at t = 4s? What is the velocity vector at t = 4s? How fast is the particle going at
t = 4s? In what direction is it h
Chapter five practice problems
The average velocity of the particle in the x and y directions between any two times is
defined as:
We can combine these two expressions into the average velocity vector:
We can justify the last line because:
the average vel
Chapter four practice problems
Example
What is the displacement of the particle in the x-direction between times t = 5s and t =
10s? What is the displacement in the y-direction? What is the displacement vector?
Well, the displacement in the x-direction is
Math Review
Vectors
Many quantities in physics are not vectors: length, energy, work, electric potential, flux,
etc. But many quantities in physics are vectors: force, torque, position, velocity,
momentum, angular momentum, Electric field, Magnetic field,
Chapter two practice problems
The graphical interpretation can sometimes expedite the calculation of the sum or difference
between two vectors, especially when were only given their magnitudes and directions. For
example, consider A to have a magnitude 8
Chapter three practice problems
Now note that according to the general definition of the dot product between two vectors the 4
dot products between the unit vectors is given below,
So this simplifies our expression to:
and, generally speaking we do have t
Announcements
Exam 1 next Tuesday at beginning of class
new material will be presented after the
exam
Review session today 07/07 from 5-7pm in
building 50 room 2812
Example
A mortar, initially traveling in the +x direction with a velocity of
problem
10m/s