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Physics 151 Week 6 Day 2
Topics– Trigonometry Review– Vector Components– Vector magnitude and direction
General Motion Model
Slide 2-4
Constant Acceleration and Constant Velocity Model
Trigonometry and Vector Component Review
Component Vectors and Components
Slide 3-22
What are the x- and y-components of these vectors?
A. 3, 2B. 2, 3C. 3, 2D. 2, 3E. 3, 2
Checking Understanding
Slide 3-23
What are the x- and y-components of these vectors?
Answer
Slide 3-24
A. 3, 2B. 2, 3C. 3, 2D. 2, 3E. 3, 2
What are the x- and y-components of these vectors?
A. 3, 1B. 3, 4C. 3, 3D. 4, 3E. 3, 4
Checking Understanding
Slide 3-25
What are the x- and y-components of these vectors?
Answer
Slide 3-26
A. 3, 1B. 3, 4C. 3, 3D. 4, 3E. 3, 4
The following vectors have length 4.0 units.What are the x- and y-components of these vectors?
A. 3.5, 2.0B. 2.0, 3.5C. 3.5, 2.0D. 2.0, 3.5E. 3.5, 2.0
Checking Understanding
Slide 3-29
The following vectors have length 4.0 units.What are the x- and y-components of these vectors?
Answer
Slide 3-30
A. 3.5, 2.0B. 2.0, 3.5C. 3.5, 2.0D. 2.0, 3.5E. 3.5, 2.0
A. tan–1(Cy /Cx)
B. tan–1(Cx /|Cy|)
C. tan–1(Cy /|Cx|)D. tan–1(Cx /Cy)
E. tan–1(|Cx |/|Cy|)
Angle φ that specifies the direction of is given by
_C
A. tan–1(Cy /Cx)
B. tan–1(Cx /|Cy|)
C. tan–1(Cy /|Cx|)D. tan–1(Cx /Cy)
E. tan–1(|Cx |/|Cy|)
Angle φ that specifies the direction of is given by
_C
The following vectors have length 4.0 units.What are the x- and y-components of these vectors?
A. 3.5, 2.0B. 2.0, 3.5C. 3.5, 2.0D. 2.0, 3.5E. 3.5, 2.0
Checking Understanding
Slide 3-27
The following vectors have length 4.0 units.What are the x- and y-components of these vectors?
Answer
Slide 3-28
A. 3.5, 2.0B. 2.0, 3.5C. 3.5, 2.0D. 2.0, 3.5E. 3.5, 2.0
Vector Components
Vector Components
Problem 2.64
A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30.0 m/s2 for 30.0 s, then runs out of fuel. Ignore any air resistance effects.
A. What is the rocket’s maximum altitude?
B. How long is the rocket in the air?
C. Draw a (quantitative) velocity-versus-time graph for the rocket from liftoff until it hits the ground.
Pictorial Diagram Example 2
Exam Tips
• Instantaneous velocity
• Area under the graph
• Algebra in symbols
• Givens Required
• Complete explanations
• Use homework to practice good solutions