lecture03_yww

8/18/2019 Lecture03_YWW

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Chapter 3 Vectors and Coordinate Systems


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Q1. Which of the following best represents the

vector:

E. None of them is correct

B

C D

A

S= A−B

A

B


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vector:

B

head-to-head

tail-to-head

S= A−B

A

S

−B

A

B

BS


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vector:


C

!"

S= A−#B

A

B


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vector:


!

C

"

A

B

B

B

S= A−#B


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$ %

$ %&he x component and the y component are independent from each other'


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$ %

$ %

A

(nit vectors) i ) j

A

)))) # 3 x y A A i A j i j= + = +


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Q3. What are the x and y components of the

following vector*

". "+ $ , "y $ 3

!. "+ $ 3 "y $

C. "+ $ # "y $ -3

. "+ $ 3 "y $ -


A


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Q3. What are the x and y components of the

following vector*

". "+ $ , "y $ 3

!. "+ $ 3 "y $

C. "+ $ # "y $ -3

. "+ $ 3 "y $ -


A


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$ % A

)))) # 3 x y A A i A j i j= + = +

A

) /i) / j

/ x

/ y


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$ %

%$

A

)))) # 3 x y A A i A j i j= + = +

A

) /i) / j

/ x

/ y / x A

) /i ) / j

/ y A

/ /))/ /

))3.031 / 2.2 / 4for /5 / at 0 6

x y A A i A j

i j x y

= +

= + °


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Q4. What are the x’ and y’ components of the

following vector*

". "+7 $ , "y7 $ 3

!. "+7 $ -3 "y7 $ -,

C. "+7 $ -3 "y7 $ ,

. "+7 $ 3 "y7 $ -,


7

7

A


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Q4. What are the x’ and y’ components of the

following vector*

8

8

". "+7 $ , "y7 $ 3

!. "+7 $ -3 "y7 $ -,

C. "+7 $ -3 "y7 $ ,

. "+7 $ 3 "y7 $ -,


A


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Q5. " car is moving at ,0 m9s as it approaches a barrier

that is inclined at 32 degrees from the vertical. What is

the component of the car7s velocity parallel to thebarrier *

". ,0 sin4326 m9s

!. ,0 cos4326 m9s

C. ,0 sin4126 m9s

. ,0 cos4126 m9s

E. Something else

32


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Q5. " car is moving at ,0 m9s as it approaches a barrier

that is inclined at 32 degrees from the vertical. What is

the component of the car7s velocity parallel to thebarrier *

". ,0 sin4326 m9s

!. ,0 cos4326 m9s

C. ,0 sin4126 m9s

. ,0 cos4126 m9s

E. Something else

32

!oth correct


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Q6. Vector C can be written

". ;3î + ĵ.

!. ;î % # ĵ.C. î ; 3 ĵ.

. #î ; ĵ.

E. î ; ĵ.


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Q6. Vector C can be written

". ;3î + ĵ.

!. ;î % # ĵ.C. î ; 3 ĵ.

. #î ; ĵ.

E. î ; ĵ.


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Q7. &he angle Φ is

". tan ;,4C x9C y6.

!. tan ;,4C y9C x6.

C. tan ;,4


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Q7. &he angle Φ is

". tan ;,4C x9C y6.

!. tan ;,4C y9C x6.

C. tan ;,4


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Q8. What is the angle between the velocity of the b(lldo=er

relative to the gro(nd5 and the velocity of the b(lldo=er relative

to the sheet5 as shown in video #.> 4warm(p6*

". #

!. 32

C. 0

. 12

E. 13

)vj

4, 9 #6 )vi

tan ,9 #θ =θ


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Q8. What is the angle between the velocity of the b(lldo=er

relative to the gro(nd5 and the velocity of the b(lldo=er relative

to the sheet5 as shown in video #.> 4warm(p6*

". #

!. 32

C. 0

. 12

E. 13

)vj

4, 9 #6 )vi

tan ,9 #θ =θ


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Q9. " river 2 m wide is flowing at 3 m9s. ?y boat can achieve

a ma+im(m speed of 0 m9s within the water7s reference frame.

What is the minim(m time @ need to cross the river5 if @ want to

reach a point on the far shore directly across from my starting point* Aint: No calc(lator needed.

". > s

!. ,2 sC. ,3.3 s

. #2 s

E. 2 s

2 m

3 m9s

0 m9s

-3 m9s


23/28

Q9. " river 2 m wide is flowing at 3 m9s. ?y boat can achieve

a ma+im(m speed of 0 m9s within the water7s reference frame.

What is the minim(m time @ need to cross the river5 if @ want to

reach a point on the far shore directly across from my starting point* Aint: No calc(lator needed.

". > s

!. ,2 sC. ,3.3 s

. #2 s

E. 2 s

2 m

3 m9s

0 m9s m9s


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E+tras


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B,: Which vector shown at the bottom is the

s(m of the three vectors shown at the top5 i.e.

which one represents *

A B C D


A B C

C B AS ++=


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B,: Which vector shown at the bottom is the

s(m of the three vectors shown at the top5 i.e.

which one represents *

A B C D


A B C

C B AS ++=


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B#:


B

C D

A


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B#:

E None of them is correct

B

C D

A

lecture03_yww

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