Choose values from the Values list. Choose
Vectors Motion in 2-Dimensions
Homework Assignment 5
Homework Assignment 5
Fall 2013
Due Friday, September 27
Name ________________________________ Choose values from the Values list. Choose expressions from the Expressions list. Choose unit from the Units list.
Given
A 3iˆ 2 ˆj m, B 4iˆ 8 ˆj m C 5iˆ 7 ˆj m, D 9iˆ 6 ˆj m
Determine the Value Value Value Value Units 1.
_____ _____ _____ _____ _____ magnitude of each vector
2.
_____ _____ _____ _____ _____ direction of each vector
Using unit vector form determine each of the following Expression Units 3.
__________ _____ 9A
4.
__________ _____ 7B
5.
__________ _____ 5C
6.
__________ _____ 4D
7.
__________ _____ E 5C 4D
8.
__________ _____ E such that 9 A 7 B 2E 0
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General Physics I
1 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
You walk 160 m due east and then 240 m due south. Determine the Expression Units 9.
__________ _____ your displacement vector R Value Units
10. _____ _____ magnitude of R 11. _____ _____ direction of R
A car drives 50 mph due east for 12 min (segment 1) then turns and goes 6.0 mi north east at 40 mph (segment 2). Finally, it goes 60 mph due south for 18 min (segment 3). Value Units 12. _____ _____ distance traveled on segment 1 13. _____ _____ elapsed time on segment 2 14. _____ _____ distance traveled on segment 3 15. _____ _____ total elapsed time Determine the Expression Units 16. __________ _____ displacement vector R 17. __________ _____ average velocity vector v
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General Physics I
2 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
The position vector of a particle is given as a function of time by 1.6 ˆ 0.8 4 r 5.3t 3 i 3.5t 2 ˆj m t t
with t in seconds. Determine expressions for the Expression Units 18. __________ _____ velocity v 19. __________ _____ acceleration a 20. __________ _____ jerk j
At time t 0.42 s determine Expression Units 21. __________ _____ position 22. __________ _____ velocity 23. __________ _____ acceleration 24. __________ _____ jerk
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General Physics I
3 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
A tow pushing barges on the Mississippi river has several tasks to perform. On a section of the river 1.5 mi wide and 6.4 mi long, the river flows south at 3.0 mph. The tow can run 7.0 mph with respect to the water. Task A is to push 18 barges 6.4 miles directly up river as shown in Fig. A. Task B. A group of eight barges had to be pushed directly across river as shown in Fig. B. The tow heads up river at the proper angle to perform this task. Task C. Preparing to head back down river with a group of 24 barges, the tow heads directly across river 0.75 miles as shown in Fig. C. (Nearing the middle of the river the captain turns the tow on its axis during the last 0.05 mi so that it is headed straight down river. Assume the heading of the barge remains directly across river during this 0.05 mi maneuver.) Task D. The tow heads down river returning to its starting point as shown in Fig. D. Determine the Value Units 25. _____ _____ speed of the tow w.r.t. the ground in Task A 26. _____ _____ time required to make the trip up river in Task A 27. _____ _____ angle in Task B 28. _____ _____ speed of the tow w.r.t. the ground in Task B 29. _____ _____ time required to make the trip across river in Task B 30. _____ _____ angle in Task C 31. _____ _____ speed of the tow w.r.t. the ground in Task C 32. _____ _____ time required to move to the middle of the river in Task C 33. _____ _____ distance traveled down river in Task C 34. _____ _____ speed of the tow w.r.t. the ground in Task D 35. _____ _____ time required to make the trip down river in Task D
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General Physics I
4 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
A jetliner with an air speed of 600 mph takes advantage of the jet stream during an 800 mi trip due east. The trip takes 1.2 hours. In order to travel due east the jetliner must maintain a heading of 30 north of east. Write vector expressions for the Expression Units 36.
__________ _____ velocity of the plane w.r.t. the ground
37.
__________ _____ velocity of the plane w.r.t. the air
38.
__________ _____ velocity of the air w.r.t. the ground
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General Physics I
5 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Values
Fall 2013
Expressions 2
Units
2
3
2
3
3
a
-1.255E+02
a
( 15.9t + 1.6/t )i - ( 14t + 1.6/t )j
a
meters (m)
b
-1.237E+02
b
( 15.9t + 1.6t )i - ( 14t + 1.6t )j
3
b
miles
c
-3.369E+01
c
( 31.8 + 3.2 )i - ( 84t + 9.6t )j
c
seconds (s)
d
1.071E-01
d
( 31.8 + 9.6/t4 )i - ( 84t + 19.2/t5 )j
d
hours (h)
e
1.500E-01
e
( 31.8t - 3.2/t3 )i + ( -42t2 + 4.8/t4 )j
e
degrees
f
2.000E-01
f
( 31.8t + 3.2t )i + ( -42t2 + 4.8t2 )j
f
m/s
g
2.372E-01
g
( 5.3t3 - 1.6/t )i + ( -3.5t4 + 0.8/t2 )j
g
m/s2
h
3.214E-01
h
11.88i - 22.63j
h
m/s3
i
6.079E-01
i
14.24i - 13.76j
i
mph
j
6.500E-01
j
147.1i - 300j
k
1.600E+00
k
160i - 240j
l
3.606E+00
l
21.91i - 21.17j
m
4.000E+00
m
25i - 35j
n
6.325E+00
n
-27.5i + 19j
o
7.616E+00
o
27i + 18j
p
8.602E+00
p
28i - 56j
q
8.944E+00
q
-29.84i + 146.8j
r
1.000E+01
r
-3.417i + 4.426j
s
1.082E+01
s
340.3i - 1504j
t
1.800E+01
t
36i + 24j
u
2.320E+01
u
519.6i + 300j
v
2.538E+01
v
61i - 11j
w
3.369E+01
w
666.7i
x
1.166E+02
y
2.884E+02
WVU-TECH
2
General Physics I
6 of 6
Homework Assignment 5
Homework Assignment 5
Fall 2013
Due Friday, September 27
Name ________________________________ Choose values from the Values list. Choose expressions from the Expressions list. Choose unit from the Units list.
Given
A 3iˆ 2 ˆj m, B 4iˆ 8 ˆj m C 5iˆ 7 ˆj m, D 9iˆ 6 ˆj m
Determine the Value Value Value Value Units 1.
_____ _____ _____ _____ _____ magnitude of each vector
2.
_____ _____ _____ _____ _____ direction of each vector
Using unit vector form determine each of the following Expression Units 3.
__________ _____ 9A
4.
__________ _____ 7B
5.
__________ _____ 5C
6.
__________ _____ 4D
7.
__________ _____ E 5C 4D
8.
__________ _____ E such that 9 A 7 B 2E 0
WVU-TECH
General Physics I
1 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
You walk 160 m due east and then 240 m due south. Determine the Expression Units 9.
__________ _____ your displacement vector R Value Units
10. _____ _____ magnitude of R 11. _____ _____ direction of R
A car drives 50 mph due east for 12 min (segment 1) then turns and goes 6.0 mi north east at 40 mph (segment 2). Finally, it goes 60 mph due south for 18 min (segment 3). Value Units 12. _____ _____ distance traveled on segment 1 13. _____ _____ elapsed time on segment 2 14. _____ _____ distance traveled on segment 3 15. _____ _____ total elapsed time Determine the Expression Units 16. __________ _____ displacement vector R 17. __________ _____ average velocity vector v
WVU-TECH
General Physics I
2 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
The position vector of a particle is given as a function of time by 1.6 ˆ 0.8 4 r 5.3t 3 i 3.5t 2 ˆj m t t
with t in seconds. Determine expressions for the Expression Units 18. __________ _____ velocity v 19. __________ _____ acceleration a 20. __________ _____ jerk j
At time t 0.42 s determine Expression Units 21. __________ _____ position 22. __________ _____ velocity 23. __________ _____ acceleration 24. __________ _____ jerk
WVU-TECH
General Physics I
3 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
A tow pushing barges on the Mississippi river has several tasks to perform. On a section of the river 1.5 mi wide and 6.4 mi long, the river flows south at 3.0 mph. The tow can run 7.0 mph with respect to the water. Task A is to push 18 barges 6.4 miles directly up river as shown in Fig. A. Task B. A group of eight barges had to be pushed directly across river as shown in Fig. B. The tow heads up river at the proper angle to perform this task. Task C. Preparing to head back down river with a group of 24 barges, the tow heads directly across river 0.75 miles as shown in Fig. C. (Nearing the middle of the river the captain turns the tow on its axis during the last 0.05 mi so that it is headed straight down river. Assume the heading of the barge remains directly across river during this 0.05 mi maneuver.) Task D. The tow heads down river returning to its starting point as shown in Fig. D. Determine the Value Units 25. _____ _____ speed of the tow w.r.t. the ground in Task A 26. _____ _____ time required to make the trip up river in Task A 27. _____ _____ angle in Task B 28. _____ _____ speed of the tow w.r.t. the ground in Task B 29. _____ _____ time required to make the trip across river in Task B 30. _____ _____ angle in Task C 31. _____ _____ speed of the tow w.r.t. the ground in Task C 32. _____ _____ time required to move to the middle of the river in Task C 33. _____ _____ distance traveled down river in Task C 34. _____ _____ speed of the tow w.r.t. the ground in Task D 35. _____ _____ time required to make the trip down river in Task D
WVU-TECH
General Physics I
4 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Fall 2013
A jetliner with an air speed of 600 mph takes advantage of the jet stream during an 800 mi trip due east. The trip takes 1.2 hours. In order to travel due east the jetliner must maintain a heading of 30 north of east. Write vector expressions for the Expression Units 36.
__________ _____ velocity of the plane w.r.t. the ground
37.
__________ _____ velocity of the plane w.r.t. the air
38.
__________ _____ velocity of the air w.r.t. the ground
WVU-TECH
General Physics I
5 of 6
Vectors Motion in 2-Dimensions
Homework Assignment 5
Values
Fall 2013
Expressions 2
Units
2
3
2
3
3
a
-1.255E+02
a
( 15.9t + 1.6/t )i - ( 14t + 1.6/t )j
a
meters (m)
b
-1.237E+02
b
( 15.9t + 1.6t )i - ( 14t + 1.6t )j
3
b
miles
c
-3.369E+01
c
( 31.8 + 3.2 )i - ( 84t + 9.6t )j
c
seconds (s)
d
1.071E-01
d
( 31.8 + 9.6/t4 )i - ( 84t + 19.2/t5 )j
d
hours (h)
e
1.500E-01
e
( 31.8t - 3.2/t3 )i + ( -42t2 + 4.8/t4 )j
e
degrees
f
2.000E-01
f
( 31.8t + 3.2t )i + ( -42t2 + 4.8t2 )j
f
m/s
g
2.372E-01
g
( 5.3t3 - 1.6/t )i + ( -3.5t4 + 0.8/t2 )j
g
m/s2
h
3.214E-01
h
11.88i - 22.63j
h
m/s3
i
6.079E-01
i
14.24i - 13.76j
i
mph
j
6.500E-01
j
147.1i - 300j
k
1.600E+00
k
160i - 240j
l
3.606E+00
l
21.91i - 21.17j
m
4.000E+00
m
25i - 35j
n
6.325E+00
n
-27.5i + 19j
o
7.616E+00
o
27i + 18j
p
8.602E+00
p
28i - 56j
q
8.944E+00
q
-29.84i + 146.8j
r
1.000E+01
r
-3.417i + 4.426j
s
1.082E+01
s
340.3i - 1504j
t
1.800E+01
t
36i + 24j
u
2.320E+01
u
519.6i + 300j
v
2.538E+01
v
61i - 11j
w
3.369E+01
w
666.7i
x
1.166E+02
y
2.884E+02
WVU-TECH
2
General Physics I
6 of 6
