Announcements:
Assignments:
Chapter
2:
Chapter 2 ConceptTests using clickers
Draw graphs of vertical position, velocity, and acceleration as functions of time for a ball thrown up to a height of 5 m and then caught at the initial level.
Chapter 3: Vectors
Vectors and components:
Vectors A and B have the same magnitude and orientation. Does A = B?
Vector A is 10 m long and oriented 30 degrees above the positive x axis.
(T/F): Does A = Ax + Ay ?A = Axx + Ayy
A = Acos30x + Asin30y
A = Asin60x + Acos60y
The
top of a tree is 30 degrees above horizontal when viewed from a distance of 50
feet from its base. What is the approximate height of this tree?
A) 20 ft. B) 30 ft. C) 40
ft. D) 50 ft. E) 60 ft.
Methods for vector addition:
- Graphically using tail-to-head or parallelogram method
- Components or unit-vector notation
Example problem: An airplane flies with an airspeed of 100 m/s at a compass heading of 120 degrees. What is the displacement of this plane after 5 minutes, assuming there is no wind? What if there is wind from the north at 20 m/s?
Note:
Angle measurements for a compass heading are
not the same as polar
coordinates that correspond to a Cartesian coordinate system!
Chapter 3 ConceptTests using clickers
Minute Paper:
Same physics as 1D motion. Simply treat each component independently and add vectors.
Tips for solving kinematics problems: