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
steposvetlana [31]
3 years ago
12

The motion of a particle is defined by the relation x = t3 – 6t2 + 9t + 3, where x and t are expressed in feet and seconds, resp

ectively. Determine When the velocity is zero The position, acceleration and total distance traveled when t= 5 sec
Engineering
1 answer:
Semmy [17]3 years ago
6 0

Answer:

a. t=3secs and t=1sec

position is -7ft,acceleration is 18fts⁻², total distance travelled is 120ft

Explanation:

the displacement is define as

x=t³-6t²+9t+3·

since we are giving the position as a function of time, the velocity is the derivative of the position,

v=dx/dt

v=d(t³-6t²+9t+3)/dt

recall for y=axⁿ the derivative

dy/dx=a*nxⁿ⁻¹ and the derivative of a constant is zero

hence

V=3t²-12t+9

for V=0,

equivalent to t²-4t+3

solving the quadratic equation, we arrive at

(t-3)(t-1)=0

either t=3 or t=1

hence,at 3secs and 1sec the velocity is zero.

To determine the position at t=5, we substitute t=5 into

t³-6t²+9t+3

(5)³-6(5)²+9(5)+3

125-180+45+3

-7ft

The position at t=5 is -7ft

To determine the acceleration, we differentiate the velocity

a=dv/dt

a=d(3t²-12t+9)/dt

a=6t-12

at t=5

a=6(5)-12

a=18fts⁻²

Next we determine the distance covered at t=5

velocity =total distance travelled/total time taken

velocity=3t²-12t+9

V=3(25)-12(5)+9

V=24ft/s

Hence total distance travelled in t=5 is

24*5=120ft

You might be interested in
Hello Averyone Subs Chanel Me please "RezaDarmawangsa "<br>Thanks !!​
Yanka [14]

Answer:

what kind of content? I need to know

4 0
2 years ago
Two different fuels are being considered for a 2.5 MW (net output) heat engine which can operate between the highest temperature
sveta [45]

Answer:

If the heat engine operates for one hour:

a) the fuel cost at Carnot efficiency for fuel 1 is $409.09 while fuel 2 is $421.88.

b) the fuel cost at 40% of Carnot efficiency for fuel 1 is $1022.73 while fuel 2 is $1054.68.

In both cases the total cost of using fuel 1 is minor, therefore it is recommended to use this fuel over fuel 2. The final observation is that fuel 1 is cheaper.

Explanation:

The Carnot efficiency is obtained as:

\epsilon_{car}=1-\frac{T_c}{T_H}

Where T_c is the atmospheric temperature and T_H is the maximum burn temperature.

For the case (B), the efficiency we will use is:

\epsilon_{b}=0.4\epsilon_{car}

The work done by the engine can be calculated as:

W=\epsilon Q=\epsilon H_v\cdot m_{fuel} where Hv is the heat value.

If the average net power of the engine is work over time, considering a net power of 2.5MW for 1 hour (3600s), we can calculate the mass of fuel used in each case.

m=\frac{P\cdot t}{\epsilon H_v}

If we want to calculate the total fuel cost, we only have to multiply the fuel mass with the cost per kilogram.

TC=m\cdot c

8 0
3 years ago
Which option distinguishes the step in the engineering design phase described in the following scenario?
rewona [7]

Answer:

reasearching the problem

Explanation:

EDG

7 0
3 years ago
The regulated voltage of an alternator is stated as 13.6 to 14.6 volts at 3000 rpm with the
lions [1.4K]

Answer:

  d)  1 volt​

Explanation:

The allowable range is 1 volt​. The allowed tolerance (deviation from nominal) depends on what the nominal voltage is.

5 0
3 years ago
How many seconds do you need to stop a car going 60 miles per hour, if the pavement is dry?
Anna71 [15]

Answer:

Roughly 4.6 seconds

Explanation:

7 0
3 years ago
Other questions:
  • Amanda and Tyler opened a business that specializes in shipping liquids, such as milk, juice, and water, in cylindrical containe
    5·1 answer
  • Now, suppose that you have a balanced stereo signal in which the left and right channels have the same voltage amplitude, 500 mV
    8·1 answer
  • A evolução da malha rodoviária do Brasil é um marco notável
    9·1 answer
  • Which branch of engineering studies the physical behavior of metallic elements?
    8·2 answers
  • A non-entrepreneurship, work-based, agricultural type of SAE, in which a student learns and gains skills in a paid or unpaid pos
    15·1 answer
  • Affordability is most concerned with:
    8·1 answer
  • Give me uses of a grinding machine in agriculture.
    15·1 answer
  • A tailgate may have a latch on both sides.<br> O True<br> O False
    10·2 answers
  • What is the friction factor for fully developed flow in a circular pipe where Reynolds number is 1000
    6·1 answer
  • Please help me on this it’s due now
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!