1. A boat needs to travel to a destination 980 km northwest of a starting point. There is an ocean current flowing towards the east at 12km/h. Assuming the maximum speed of the boat in still water is 50 km/h. What is the shortest possible time to complete the trip? حد

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
W.
+
1. A boat needs to travel to a destination 980 km northwest of a starting point. There is
an ocean current flowing towards the east at 12km/h. Assuming the maximum speed of
the boat in still water is 50 km/h. What is the shortest possible time to complete the
trip?
Ad=?xmi/h
²4d=980km
Nº
Ady E-
Ś
Ade
VOE=12km/h A
VBW= SOKM/K
VBE = ?
45
VOE
540
A
VBW
At = 0.707825
Vav = 6.9 m/s
dav = ?
VBE
omn
VBW = VOE + VBE
VBG VBW VOE
VBE = √50²-12²
YBE = 48.538Km/h
48.53=980.
Ot
At=20.190h
2. A stone, thrown from ground level with a speed of 9.81 m/s at an angle of 45 above
the horizon, returns to the ground. Determine,
اد
a) the average velocity from the time of launch to the time of the maximum height.
A+= 2(9.81)Sin45
9.8
At=1.4156s (At of half)
2
4 = 0.707825
Adx = 9.812 Sinz (45)=9.8200m = 4,9/m
9.8
b) the average acceleration for the same time period in part a).
dav
6.936
Adx= 4.91m
0.707
dav = 9.800
Aav = 9.8m/s²
Vau= Ad
= 4.91
half) = 6.9 m/s
0.70782
2
Transcribed Image Text:W. + 1. A boat needs to travel to a destination 980 km northwest of a starting point. There is an ocean current flowing towards the east at 12km/h. Assuming the maximum speed of the boat in still water is 50 km/h. What is the shortest possible time to complete the trip? Ad=?xmi/h ²4d=980km Nº Ady E- Ś Ade VOE=12km/h A VBW= SOKM/K VBE = ? 45 VOE 540 A VBW At = 0.707825 Vav = 6.9 m/s dav = ? VBE omn VBW = VOE + VBE VBG VBW VOE VBE = √50²-12² YBE = 48.538Km/h 48.53=980. Ot At=20.190h 2. A stone, thrown from ground level with a speed of 9.81 m/s at an angle of 45 above the horizon, returns to the ground. Determine, اد a) the average velocity from the time of launch to the time of the maximum height. A+= 2(9.81)Sin45 9.8 At=1.4156s (At of half) 2 4 = 0.707825 Adx = 9.812 Sinz (45)=9.8200m = 4,9/m 9.8 b) the average acceleration for the same time period in part a). dav 6.936 Adx= 4.91m 0.707 dav = 9.800 Aav = 9.8m/s² Vau= Ad = 4.91 half) = 6.9 m/s 0.70782 2
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY