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
Firlakuza [10]
3 years ago
12

A particle initially at rest moves along in a line so that its acceleration is a(t) = 10/(t+1) for t>=0.

Physics
1 answer:
ddd [48]3 years ago
4 0

Answer: 16.09m/s

Explanation:

Given the acceleration a(t) = 10/(t+1), to derive the velocity function, we need integrate the acceleration function.

v(t) = integral{10/t+1}dt

Since all constants always come out of the integral, the equation becomes;

v(t) = 10integral{1/t+1}dt

One of the integral law is that if the numerator of the function to be integrated is the differential of the denominator, the resulting answer will be natural logarithm of the denominator i.e ln(t+1) since the denominator is ln(t+1) and if differentiated will give us 1 which is the numerator hence, the reason for the answer ln(t+1)

v(t) = 10ln(t+1)

@ t= 4, the velocity of the particle

v(4) = 10ln(4+1)

v(4) = 10ln5

v(4) = 16.09m/s²

Therefore, the velocity of the particle at time t=4 is 16.09m/s

You might be interested in
The mechanical advantage to simple machines is that they allow a decreased input force to create a larger output force. please s
Rina8888 [55]
<span>The mechanical advantage to simple machines is that they allow a decreased input force to create a larger output force.

<span>TRUE</span></span>
5 0
3 years ago
Draw a distance over time graph of a dog that is tied to a 4 foot rope and travels in 1 complete circle
Soloha48 [4]
I think this is the answer. I hope you can understand.

6 0
3 years ago
What is the best unit to use when measuring the mass of a mineral sample?
Ksivusya [100]
Measuring density: Measure the mass (in grams) of each mineral sample available to you. The mass of each sample is measured using a balance or electronic scale. Record mass on a chart.
8 0
3 years ago
Oil tends to float on water because the density of oil is _____ the density of water.
Rama09 [41]
Oil is less dense than water so it tends to float on the top of the water. Hope this Helps!
7 0
3 years ago
The heating system in Jeff and Tony's new home takes cool air and passes it through the heat source using a fan or blower. What
-BARSIC- [3]

If it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.

<h3>What is heat transfer by convection?</h3>

Convection is the transfer of heat from one place to another due to the movement of fluid.

During heat transfer by convection, cold air replaces hot risen air.

Thus, if it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.

Learn more about convection here: brainly.com/question/893656

#SPJ1

8 0
2 years ago
Other questions:
  • Within an integrated circuit, each wafer is cut into sections, which A. carry a single circuit and are placed all together in on
    12·2 answers
  • Science Help ASAP please!!! 35 points what is the primary role of the respiratory system in humans.
    5·1 answer
  • The slope of a distance vs. time graph is a measurement called
    10·1 answer
  • What component is used to measure the current in a circuit
    13·2 answers
  • Two concrete spans of a 380 m long bridge are
    15·1 answer
  • Dark matter is missing stars that have fallen from the sky.<br> true or false
    11·1 answer
  • When a substance is poured from one container to another, its shape changes but its volume does not, what state of matter is the
    10·1 answer
  • A person, with his ear to the ground, sees a huge stone strike the concrete pavement. A moment later two sounds are heard from t
    5·1 answer
  • If the needle in the galvanometer is going up, what can you conclude about the motion of the magnet in the diagram?
    9·2 answers
  • If Frequency F, velocity v, and density D are considered fundamental units, the dimensional formula for momentum will be :
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!