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
Scorpion4ik [409]
3 years ago
14

In still​ water, a boat averages 18 18 miles per hour. it takes the same amount of time to travel 16 miles 16 miles ​downstream,

with the​ current, as it does 8 8 miles​ upstream, against the current. what is the rate of the​ water's current?
Physics
1 answer:
Vladimir79 [104]3 years ago
4 0
<span>The current is 6 miles per hour.
   Let's create a few equations:
 Traveling with the current:
 (18 + c)*t = 16

   Traveling against the current:
 (18 - c)*t = 8

   Let's multiply the 2nd equation by 2
 (18 - c)*t*2 = 16

   Now subtract the 1st equation from the equation we just doubled.
 (18 - c)*t*2 = 16
 (18 + c)*t = 16

   (18 - c)*t*2 - (18 + c)*t = 0
 Divide both sides by t
 (18 - c)*2 - (18 + c) = 0

   Now solve for c
 (18 - c)*2 - (18 + c) = 0
 36 - 2c - 18 - c = 0
 36 - 2c - 18 - c = 0
 18 - 3c = 0
 18 = 3c
  6 = c

   So the current is 6 mph.
   Let's verify that.
 (18 + 6)*t = 16
 24*t = 16
 t = 16/24 = 2/3

   (18 - 6)*t = 8
 12*t = 8
 t = 8/12 = 2/3

   And it's verified.</span>
You might be interested in
A bird flies 2 km to the south then 0.2 km to the north . What is the displacement of the bird?
lidiya [134]
The displacement of the bird is 1.8 km...because displacement is the distanse of the object from mean position to the travelled position.....hope it helps
8 0
3 years ago
Read 2 more answers
A soccer ball is released from rest at the top of a grassy incline. After 6.2 seconds, the ball travels 47 meters. One second la
alexandr1967 [171]

Answer:

(a) a = 2.44 m/s²

(b) s = 63.24 m

Explanation:

(a)

We will use the second equation of motion here:

s = v_it+\frac{1}{2}at^2

where,

s = distance covered = 47 m

vi = initial speed = 0 m/s

t = time taken = 6.2 s

a = acceleration = ?

Therefore,

47\ m = (0\ m/s)(6.2\ s)+\frac{1}{2}a(6.2\ s)^2\\\\a = \frac{2(47\ m)}{(6.2\ s)^2}

<u>a = 2.44 m/s²</u>

<u></u>

(b)

Now, we will again use the second equation of motion for the complete length of the inclined plane:

s = v_it+\frac{1}{2}at^2

where,

s = distance covered = ?

vi = initial speed = 0 m/s

t = time taken = 7.2 s

a = acceleration = 2.44 m/s²

Therefore,

s = (0\ m/s)(6.2\ s)+\frac{1}{2}(2.44\ m/s^2)(7.2\ s)^2\\\\

<u>s = 63.24 m</u>

6 0
3 years ago
What happens when a body of cold air approaches a body of warm air
inn [45]
The warm air gets pushed up, this also could cause rain, and possibly high winds that can cause a tornado to form
7 0
3 years ago
Please select the word from the list that best fits the definition can permanently damage skin
guapka [62]
The answer ultraviolet rays just got it right on the test
3 0
3 years ago
Read 2 more answers
Suppose you studied the velocity of a cheetah overtime after it starts running to chase an deer. After the linear fit, a spreads
EastWind [94]

Explanation:

While studying the velocity of a cheetah over time in a spreadsheet program is given by :

y = 2.2 x + 1.2 ...(1)

We know that,

v=v₀+at ...(2)

v₀ is velocity when t = 0, v is velocity after time t, a is acceleration and t is time.

If we consider time t on x-axis and v on y axis, then only we can draw a plot of equation (2). On comparing equation (1) and (2) we get :

a = 2.2 (but it is not correct as we don't know about axes).

Hence, the correct option is (a) "We cant tell without knowing what was plotted on the horizontal and vertical axes"

6 0
3 years ago
Other questions:
  • In certain ranges of a piano keyboard, more than one string is tuned to the same note to provide extra loudness. For example, th
    15·1 answer
  • Given the function f(x) = 8x3 − 3x2 − 5x 8, what part of the function indicates that the left and right ends point in opposite d
    9·2 answers
  • Describe the energy transformations that occur from the time a skydiver jumps out of a plane until landing on the ground.
    13·2 answers
  • What is the average velocity of a car if it travels from position 25m to a position of -7m in 34 seconds?
    8·2 answers
  • Manipulate the equation "v=d/t" to find the answers to these problems using
    9·1 answer
  • Which theory states that if you are forced to smile at an event, you will enjoy it? A. The Schachter-Singer theory B. The Lazaru
    9·1 answer
  • Jorge hits a drum as hard as he can, and it makes a loud sound. Then he hits the same drum with less strength, and it makes a qu
    11·1 answer
  • Can yall help me please?? I can't get it wrong!
    15·2 answers
  • You would have the largest mass of gold if your chunk of gold weighed 1 N on
    7·2 answers
  • Light does not pass through some materials. What do you think happens
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!