Goals
1. Determine the components of the vectors
2. Solve for the sum of two or more vectors algebraically by adding the components of the vectors.
Warm-Up
0. Open Online Textbook CH 5 in a new tab or window. Keep it open all class...
0.5 If you have test corrections, put them in the period 7 slot
1. Vectors Revisited: (3min)
a. What does this symbolize? F
b. What about this?
c. What about this? F
d. What is the definition of a vector?
Classwork
1. Kahoot Review
2. Practice Problems pg 121 #1 & 2. The instructions state to solve both graphically & mathematically. Since we can't measure 125km, you can draw a diagram of the scenario, then solve mathematically.
3a. Vector Components Preview:
Look at the pictures in the margin of page 122.
a. What are Ax and Ay components of?
b. Are Ax and Ay themselves vectors, or A the only vector?
Look at the pictures in the margin of page 123.
c. What does Rx represent?
d. What is the vector sum of the small vectors A, B, and C?
3b. Problem Solving Strategies with Vector Component Addition
- Notes: (hovercam)
- Identifying Components A->Ax & Ay
- Trig formulas used to "break" vectors into components SOH-CAH-TOA
- Using inverse tangent to resolve (aka, "find") the angle of the resultant vector
- 6 Step Procedure for solving vector addition problems
Your Mom
4. Sample Vector Addition Problem
If you have questions, raise your hand
Video: Vector Components.
5. Connecting Steps in the Sample Problem to the 6 Step Procedure (hovercam)
6. Practice Problems pg 125 5-7
7. Connect activities with goals
Homework
Practice Problems pg 125 5-7
Reading quiz on CH 5.1 on Wednesday. Review pages 118-120 & 122-123.
Complete pg 125 problems #11-14
Goals: SWBAT...
1. Recognize that the vertical and horizontal motions of a projectile are independent.
2. Relate the height, time in the air, and initial vertical velocity of a projectile using its vertical motion, and then determine the range using the horizontal motion.
3. Calculate distance traveled, flight time, and max height using a variety of data for objects launched at an angle other than horizontal.
WARM-UP & HW Check
I. You shoot a bullet with a velocity of 150m/s, and at an angle of 30 degrees above the horizontal. Then you shoot a second (identical) bullet with the same velocity, but this time at an angle of 60 degrees above the horizontal.
1. IMAGE: On the same set of axes, sketch the trajectories of both bullets
2. PREDICTION:
A. Which bullet will travel farther horizontally?
B. Write 1-2 sentences supporting your choice.
II. Make a list of physics concepts or skills needed to analyze projectile motion. You should have at least five concepts/skills.
Example: 1. vector component resolution
2. gravity/acceleration
3. velocity
4. parabolic arc
5. free-fall
6. no air resistance
7. independence of horizontal and vertical vectors
III. Given an initial velocity of 5m/s and a launch angle of 36.87* above the horizon, what would be
the x- and y-components of the initial velocity?
CLASSWORK: (for each CW activity, think about which goal you are meeting. Also, tell me how the activity helps you achieve that goal)
1. Review Figure 6-3 and HW pg 152 #7 (more time for gravity to act on the ball), 8 (), #11(EC); pg 164 #44 (monkey dies - gravity affects dart and monkey the same); pg 165 #52 , 53
Answers are above in red
2. Practice: (Use Example Problem #1 (pg 151) as an example)
Pancho kicks a soccer ball at rest on level ground, giving it an initial velocity of 7.8m/s at an angle of 32*.
A. Draw a sketch of the problem using a coordinate system. Draw a motion diagram (include Fnet and a)
B. How long will the ball be in the air?
C. How high will the ball go?
D. What will be its range?
4. PRACTICE: Solve pg 152: #4, 5, 6
Answers:
4: a: 2.76s b: 9.30m c: 64.5m
5: hangtime: 4.77s distance: 64.4m max height: 27.9m
6. 37m/s at 83* from horizontal
HOMEWORK:
Due Thursday
Solve pg 152: #4, 5, 6