Physics 151 Week 6 Day 2 Topics Trigonometry Review Vector Components Vector magnitude and direction

General Motion Model Answer: C 2

Constant Acceleration and Constant Velocity Model Answer: C Slide 2-4 3

Trigonometry and Vector Component Review Be prepared to make reasonable estimations and state your assumptions when solving problems. Be aware of significant digits in your answers. (Keep lots of digits until the final calculation, then round to the appropriate precision. For intermediate steps, remember to keep one extra significant digit

Component Vectors and Components Slide 3-22

Checking Understanding What are the x- and y-components of these vectors? Answer: B 3, 2 2, 3 3, 2 2, 3 3, 2 Slide 3-23

Answer What are the x- and y-components of these vectors? 3, 2 2, 3 Answer: B 3, 2 2, 3 3, 2 2, 3 3, 2 Slide 3-24

Checking Understanding What are the x- and y-components of these vectors? Answer: B 3, 1 3, 4 3, 3 4, 3 3, 4 Slide 3-25

Answer What are the x- and y-components of these vectors? 3, 1 3, 4 Answer: B 3, 1 3, 4 3, 3 4, 3 3, 4 Slide 3-26

Checking Understanding The following vectors have length 4.0 units. What are the x- and y-components of these vectors? Answer: E 3.5, 2.0 2.0, 3.5 3.5, 2.0 2.0, 3.5 3.5, 2.0 Slide 3-29

Answer The following vectors have length 4.0 units. What are the x- and y-components of these vectors? Answer: E 3.5, 2.0 2.0, 3.5 3.5, 2.0 2.0, 3.5 3.5, 2.0 Slide 3-30

Angle φ that specifies the direction of is given by tan–1(Cy /Cx) tan–1(Cx /|Cy|) tan–1(Cy /|Cx|) tan–1(Cx /Cy) tan–1(|Cx |/|Cy|) Answer D

Angle φ that specifies the direction of is given by tan–1(Cy /Cx) tan–1(Cx /|Cy|) tan–1(Cy /|Cx|) tan–1(Cx /Cy) tan–1(|Cx |/|Cy|) STT3.4

Checking Understanding The following vectors have length 4.0 units. What are the x- and y-components of these vectors? Answer: B 3.5, 2.0 2.0, 3.5 3.5, 2.0 2.0, 3.5 3.5, 2.0 Slide 3-27

Answer The following vectors have length 4.0 units. What are the x- and y-components of these vectors? Answer: B 3.5, 2.0 2.0, 3.5 3.5, 2.0 2.0, 3.5 3.5, 2.0 Slide 3-28

Vector Components Be prepared to make reasonable estimations and state your assumptions when solving problems. Be aware of significant digits in your answers. (Keep lots of digits until the final calculation, then round to the appropriate precision. For intermediate steps, remember to keep one extra significant digit 16

Vector Components Be prepared to make reasonable estimations and state your assumptions when solving problems. Be aware of significant digits in your answers. (Keep lots of digits until the final calculation, then round to the appropriate precision. For intermediate steps, remember to keep one extra significant digit 17

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. Be prepared to make reasonable estimations and state your assumptions when solving problems. Be aware of significant digits in your answers. (Keep lots of digits until the final calculation, then round to the appropriate precision. For intermediate steps, remember to keep one extra significant digit 18

Pictorial Diagram Example 2 Answer: C 19

Exam Tips Instantaneous velocity Area under the graph Algebra in symbols Givens Required Complete explanations Use homework to practice good solutions Be prepared to make reasonable estimations and state your assumptions when solving problems. Be aware of significant digits in your answers. (Keep lots of digits until the final calculation, then round to the appropriate precision. For intermediate steps, remember to keep one extra significant digit