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
Greeley [361]
3 years ago
14

Find the velocity, acceleration, and speed of a particle with the given position function. r(t = t2i 6tj 4 ln t k

Physics
1 answer:
artcher [175]3 years ago
6 0
1st derivative gives velocity;
d r(t)/ dt = 2t i + 6 j + 4/t k

2nd derivative gives acceleration;
d^2 r(t)/ dt^2 = 2 i - 4/ t^2

Speed ;
Square root of (4 t^2 + 36 + 16/ t^2)

For a given time, like 2 seconds, t will be 2. And answer of speed will be scalar.
You might be interested in
A ball is dropped from a window and takes two seconds to reach the ground .it starts from rest and reaches a final speed of 20m/
Akimi4 [234]
The ball can't reach the speed of 20 m/s in two seconds, unless you THROW it down from the window with a little bit of initial speed. If you just drop it, then the highest speed it can have after two seconds is 19.6 m/s .

If an object starts from rest and its speed after 2 seconds is 20 m/s, then its acceleration is 20/2 = 10 m/s^2 .

(Gravity on Earth is only 9.8 m/s^2.)
3 0
3 years ago
. Friction is a rubbing force that ___________ a spinning yo-yo.
Advocard [28]
The yo-yo speeds up when you rub it
3 0
3 years ago
Read 2 more answers
Contact force that acts to resist sliding between two touching surfaces
Black_prince [1.1K]
I think that the answer is friction 
3 0
3 years ago
What happens when stress builds up at faults?
Harlamova29_29 [7]

Answer:

The answer is D because when the faults move that is the tectonic plates moving. So earth quakes will be forming when the fault moves.

Explanation:

3 0
3 years ago
Read 2 more answers
The energy from 0.015 moles of octane was used to heat 250 grams of water. The temperature of the water rose from 293.0 K to 371
arsen [322]

Answer : The correct option is, (B) -5448 kJ/mol

Explanation :

First we have to calculate the heat required by water.

q=m\times c\times (T_2-T_1)

where,

q = heat required by water = ?

m = mass of water = 250 g

c = specific heat capacity of water = 4.18J/g.K

T_1 = initial temperature of water = 293.0 K

T_2 = final temperature of water = 371.2 K

Now put all the given values in the above formula, we get:

q=250g\times 4.18J/g.K\times (371.2-293.0)K

q=81719J

Now we have to calculate the enthalpy of combustion of octane.

\Delta H=\frac{q}{n}

where,

\Delta H = enthalpy of combustion of octane = ?

q = heat released = -81719 J

n = moles of octane = 0.015 moles

Now put all the given values in the above formula, we get:

\Delta H=\frac{-81719J}{0.015mole}

\Delta H=-5447933.333J/mol=-5447.9kJ/mol\approx -5448kJ/mol

Therefore, the enthalpy of combustion of octane is -5448 kJ/mol.

5 0
3 years ago
Other questions:
  • 86 Km/h convertir a (m/min)
    8·1 answer
  • Tim adds salt as he starts to heat a pot of water to cook pasta. When the water is boiling, he notices the salt has dissolved ex
    5·1 answer
  • An object weighs 100 newtons on earth's surface when it is moved to a point one earth radius above earth's surface it will weigh
    10·2 answers
  • Which statement about solubility is true?
    14·1 answer
  • The half-life of a certain isotope is 12 years. How much of a 600 g sample will remain after 36 years?
    10·1 answer
  • What is the scientific definition of energy that relates it to work
    9·2 answers
  • The force of attraction between things that have mass is called ________________.
    13·1 answer
  • Which skateboarder has greater momentum?
    8·1 answer
  • A 17 kg box experiences an applied force of +175 N and a force of friction of -125 N. While experiencing these unbalanced forces
    15·1 answer
  • Compare and contrast the energy transfer of a roller coaster to that of a pendulum
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!