1.10. An automobile equipped with a thermometer is heading southward at 100 km h, bound for a location 300 km away. During transit, the temperature drops to -5°C at the origin. If the temperature at departure was measured to be 0°C and the tempera- ture tendency measured along the journey is +5°C h-¹, what temperature should the travelers expect at their destination?
1.10. An automobile equipped with a thermometer is heading southward at 100 km h, bound for a location 300 km away. During transit, the temperature drops to -5°C at the origin. If the temperature at departure was measured to be 0°C and the tempera- ture tendency measured along the journey is +5°C h-¹, what temperature should the travelers expect at their destination?
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Can someone please help direct me on what to do next? The problem I need help with is 1.10. Thank you!
![(a) Derive
d
(8F) = 8 (4)
dt
where F is any variable.)
(b) What kinematic field is represented by
1 dA
A dt
Defend your choice.
(c) Describe (with a word) the type of flow that will result in a decrease in A. Defend
your choice with a diagram and accompanying explanation.
1.7. Find the angle between the surfaces 2x² - y² + z² = 9 and 3z = x² - 4y² +5 at the
point (2, 1, -2).
1.8. If Vo = 2xyz² i + x²z² 3 + 2x²yzk, find p(x, y, z) if (1, -2, 2) = 4.
1.9. Prove that V² (aß) = aV²B +2Va. VB+BV²a where agnd ß are scalar functions.
1.10. An automobile equipped with a thermometer is heading southward at 100 km h,
bound for a location 300 km away. During transit, the temperature drops to -5°C at
the origin. If the temperature at departure was measured to be 0°C and the tempera-
ture tendency measured along the journey is +5°C h-¹, what temperature should the
travelers expect at their destination?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8854ffd-431b-44a2-b47e-daec534c3a26%2F3b56abc7-87b8-482a-89e7-b95c4a626af7%2F5tdj4zh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Derive
d
(8F) = 8 (4)
dt
where F is any variable.)
(b) What kinematic field is represented by
1 dA
A dt
Defend your choice.
(c) Describe (with a word) the type of flow that will result in a decrease in A. Defend
your choice with a diagram and accompanying explanation.
1.7. Find the angle between the surfaces 2x² - y² + z² = 9 and 3z = x² - 4y² +5 at the
point (2, 1, -2).
1.8. If Vo = 2xyz² i + x²z² 3 + 2x²yzk, find p(x, y, z) if (1, -2, 2) = 4.
1.9. Prove that V² (aß) = aV²B +2Va. VB+BV²a where agnd ß are scalar functions.
1.10. An automobile equipped with a thermometer is heading southward at 100 km h,
bound for a location 300 km away. During transit, the temperature drops to -5°C at
the origin. If the temperature at departure was measured to be 0°C and the tempera-
ture tendency measured along the journey is +5°C h-¹, what temperature should the
travelers expect at their destination?
![2.
(MARTIN 2.3)
(MARTIN 1-10) SOLVE FOR OF
joy
FINAL TEMP CHANGE.
SPEED
100 km
hr
↳ FINAL = -5°C.
T₁ = 6°
✓ 300 km.
7
AT = DIFF IN + FROM T & T₂
Ay = CHANGE IN Y DIR.
DT
DE
DIT
D
D.FI
DA
V DE
lat
V
T DROPS TU
+++
T
at
a T
at
THEN INTEGRATE OVER DISTANCE TO GET
atl
J.VTE at
at
vat
au
W
vat
V
5°C
ay
3
!". T DROPS 5P c
hr
+
NOT SOLVING
FOR TITIS NO X MOVEMENT
Wat
AT =
Au
T
อน](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8854ffd-431b-44a2-b47e-daec534c3a26%2F3b56abc7-87b8-482a-89e7-b95c4a626af7%2Farw4a2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.
(MARTIN 2.3)
(MARTIN 1-10) SOLVE FOR OF
joy
FINAL TEMP CHANGE.
SPEED
100 km
hr
↳ FINAL = -5°C.
T₁ = 6°
✓ 300 km.
7
AT = DIFF IN + FROM T & T₂
Ay = CHANGE IN Y DIR.
DT
DE
DIT
D
D.FI
DA
V DE
lat
V
T DROPS TU
+++
T
at
a T
at
THEN INTEGRATE OVER DISTANCE TO GET
atl
J.VTE at
at
vat
au
W
vat
V
5°C
ay
3
!". T DROPS 5P c
hr
+
NOT SOLVING
FOR TITIS NO X MOVEMENT
Wat
AT =
Au
T
อน
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