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
Orlov [11]
3 years ago
14

A water tank has a square base of area 8 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours?
Physics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

Explanation:

Given

base of water tank A=8\ m^2

Initial volume of water V=70\ m^3

Water leaves the tank at the rate of

\frac{\mathrm{d} V}{\mathrm{d} t}=-(2+4t^3)

Integrating rate to get desired volume

at t=0,V=70\ m^3

at t=3\ hr,V=V

therefore

\int_{70}^{V}dV=\int_{0}^{3}-\left ( 2+4t\right )dt

V-70=2t+2t^2|_0^3

V-70=-24

V=46\ m^3

and volume=Area\times h

h=\frac{V}{A}

h=\frac{46}{8}

h=5.75\ m

Thus height of water remaining is 5.75\ m      

You might be interested in
Waxing or waning moon?
Dennis_Churaev [7]

Answer:

waning gibbious

Explanation:

7 0
3 years ago
The area of the bar over r = 2 is 0.234. what is the area of the bar over r = 4?
natita [175]
The area of the bar over r=4 is 0.468
4 0
3 years ago
We cannot consider something to be work unless
iren [92.7K]
<span>force applied causes movement of an object in the same direction as the applied force.</span>
5 0
3 years ago
Read 2 more answers
34. A train, starting from rest, accelerates along the platform at a uniform rate of 0.6 m/s2. A passenger standing on the platf
ira [324]

Answer:

4.08 s

Explanation:

Let the passenger took "t" time to catch the train

so in this case the total distance moved by the train + 5 m = total distance moved by the passenger

so we will have

distance moved by train is given as

d_1 = \frac{1}{2}(0.6) t^2

also the distance moved by passenger

d_2 = \frac{1}{2}(1.2) t^2

so we will have

d_1 + 5 = d_2

0.3 t^2 + 5 = 0.6 t^2

0.3 t^2 = 5

t = 4.08 s

3 0
3 years ago
If you speed up from rest to 12m/s in 3 seconds, what is your acceleration?
boyakko [2]


b) 4m/s/s

This is because you divide the speed you reach, by the time it takes to get to that speed:

12m/s ÷ 3s = 4m/s/s

The units come from what you divide, meters per second ÷ seconds this can be written as m/s/s or ms-² 

6 0
3 years ago
Read 2 more answers
Other questions:
  • What was the average yearly ice loss in 1980 versus 2010?
    6·2 answers
  • If all the light waves are absorbed by an object then the object will appear A) black B) brown C) gray D) white
    15·1 answer
  • If the were not tilted on its axis ,what would be the result
    7·1 answer
  • Please need help with this
    9·1 answer
  • All of the following are qualities of a certain program except:
    14·1 answer
  • A baseball player swings at a baseball of m = 0.23 kg. The force exerted on the ball by the bat is 5.0 N forward. What is the fo
    5·2 answers
  • Which of the following equations are balanced correctly?
    14·1 answer
  • Giving 20 points and brainiest <br> But please help me
    12·1 answer
  • A dog accelerates at 1.50 m/s2 to reach a velocity of 13.5 m/s while covering a distance of 49.3 m. What was his initial velocit
    9·1 answer
  • Exercising at the Supermarket
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!