Big Dates: Test - Tues. Oct. 28
Lab – No Lab Write-ups this unit
Homework:
Due date - Task
Tues 10/7 Read sections 3.1 – 3.7. Be prepared to describe 2 ways to add 2 vectors, 2 ways to subtract two vectors, and 3 ways to multiply with vectors. Also, what are unit vectors?
Wed 10/8 Read sections 4.1 – 4.4. Be ready to explain sample problems 4.2 – 4.4
Mon.10/13 Read 4.5-4.6
Tues10/14 Read 4.7- 4.9
Mon. 10/20 Exercises and Problems from Ch. 4( p. 73): 7, 12, 19, 23, 25, 29, 31, 51, 59, 63, 71, 73, 78, 79
Goals: This list comes from the AP standards. We covered about a third of them in our first unit. The test will be over all of them.
1. Motion in One Dimension
a. Students should understand the general relationships among position, velocity and acceleration for the motion of a particle along a straight line, so that:
(1) Given a graph of one of the kinematic quantities, position, velocity, or acceleration as a function of time, they can recognize in what time intervals the other two are positive, negative or zero, and can identify or sketch a graph of each as a function of time.
(2) Given an expression for one of the kinematic quantities, position, velocity, or acceleration, as a function of time, they can determine the other two as a function of time, and find when these quantities are zero or achieve their maximum and minimum values.
b. Students should understand the special case of motion with constant acceleration so that they can:
(1) Write down expressions for velocity and position as functions of time, and identify or sketch graphs of these quantities.
(2) Use the equations to solve problems using one-dimensional motion with constant acceleration.
c. Students should know how to deal with situations in which acceleration is a specified function of velocity and time so they can write an appropriate differential equation and solve it, incorporating correctly a given initial value of v.
2. Motion in Two Dimensions
a. Students should know how to deal with displacement and velocity vectors so they can:
(1) Relate velocity, displacement, and time for motion with constant velocity.
(2) Calculate the component of a vector along a specified axis, or resolve a vector into components along two specified mutually perpendicular axes.
(3) Add vectors in order to find the net displacement of a particle that undergoes successive straight-line displacements.
(4) Subtract displacement vectors in order to find the location of one particle relative to another, or calculate the average velocity of a particle.
(5) Add or subtract velocity vectors in order to calculate the velocity change or average acceleration of a particle, or the velocity of one particle relative to another.
b. Students should understand the general motion of a particle in two dimensions so that, given functions x(t) and y(t) which describe this motion, they can determine the components, magnitude, and direction of the particle’s velocity and acceleration as functions of time.
c. Students should understand the motion of projectiles in a uniform gravitational field so they can:
(1) Write down expressions for the horizontal and vertical components of velocity and position as functions of time, and sketch or identify graphs of these components.(2) Use these expressions in analyzing the motion of a projectile that is projected above level ground with a specified initial velocity.
