1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Iteru [2.4K]
3 years ago
10

Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due

east at 15km/h and reaches the same dock at 3:00 PM How many minutes after 2:00 PM were the two boats closest together
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

You might be interested in
Please help me divide
saul85 [17]

leg^2 + leg^2 = hyp^2

5^2 + 12^2 = hyp^2

25 + 144 = hyp^2

169 = hyp^2

13 = hyp

Hope this helps! ;)

3 0
4 years ago
Read 2 more answers
Can y’all answer the question for me please
Pie

It’s the second one, cuz that’s the correct formula and equation

8 0
3 years ago
GIVING BRAINLIEST! DUE TODAY!!!
o-na [289]

Answer:

0, 4, 7, 9, 11 those r the answers in order

6 0
3 years ago
Read 2 more answers
If Jenna can walk 6mi in 2h, how many miles could she walk in 2.5h, assuming she keeps the same pace?
laiz [17]

Answer:

7.5mi

Step-by-step explanation:

3 0
3 years ago
A line graph titled Number of Tornadoes in 2012 has Month on the x-axis and number on the y-axis. In March there were 225 tornad
Fantom [35]

Answer:

B 150 tornadoes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • I'd really appreciate it if someone could help me with this question? I don't know why, but I'm sorta struggling with it.
    10·2 answers
  • Another United States traveler arrives at a United States point of entry. He has purchased a Fiat car abroad that cost him $4,15
    14·2 answers
  • I need help please.
    9·1 answer
  • There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte fla
    15·2 answers
  • A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a
    9·1 answer
  • If GFE ~ GHJ, find the value of x.
    5·1 answer
  • Julio and Jake start their reading assignments the same day. Jake is reading a 152−page-book at a rate of 18 pages per day. Juli
    15·1 answer
  • How on earth do u solve this
    12·1 answer
  • The black graph is the graph of<br> y = f(x). Choose the equation for the<br> red graph.
    12·1 answer
  • Someone help me pls
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!