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
Directions: Select the choice that best fits each statement. The following question(s) refer to the following concepts related t
borishaifa [10]

Answer:

(E) Second law of thermodynamics

Explanation:

The second law of thermodynamics can be understood according to Clausius' words: In an isolated system, no process can occur if a decrease in the total entropy of the system is associated with it. These processes are associated with energy transformations, in which a variable is introduced, called entropy that indicates the notion of disorder. Therefore, in any isolated process, the disorder can only grow.

4 0
3 years ago
Read 2 more answers
A 55 kg roller skater is at rest on a flat skating rink, a 198 N horizontal force is needed to set the skater in motion.
Rufina [12.5K]

Answer:

Explanation:

To get the person Moving you have to overcome the static (means not moving) friction coefficient.  U(static)

To get the person going at the same speed you have to overcome the kinetic friction coefficient. U(Kinetic)

Force to get him moving is 198 N.   Force = ma = U(static)Mg

combining the 2 equations you get 198N = U(static)* 55kg *9.8m/s^2   Solve for U(static)

Same equation to keep him moving except with the dynamic force and the dynamic U

 

175N=  U(kinetic)*55kg*9.8m/s^2  Solve (U dynamic)

8 0
3 years ago
Index fossils are used to determine the relative ages of rock and fossils and are also used to
kolbaska11 [484]

Index fossils are used to determine the relative ages of rock and fossils and are also used to define the boundaries between geologic periods.

<u>Option: A</u>

<u>Explanation:</u>

The fossils which are recognized as fossils guides or indicator fossils are used to classify and recognize geological or faunal periods, termed as index fossils. It must be of short vertical reach, wide geographic distribution and swift patterns in evolution. It helps to assess the rock layers ' age and helps to date other fossils found close and around them. For an instance, Ammonites were abundant in the Mesozoic period between 245 to 65 mya, they have not been found after the Cretaceous era, as they became endangered during the K-T extinction (65 mya).

3 0
3 years ago
Temperature is a measure of the average ____________ energy of an object's particles. light mechanical potential kinetic
Zielflug [23.3K]
Temperature is a measure of the average kinetic energy of the particles of a substance.
Hope this helps! :)
6 0
3 years ago
Read 2 more answers
Astronaut John's mass is 75 kg. He is floating at rest in the space station holding a 5.0 kg pillow. When his friend Bill enters
Murljashka [212]

Answer:

my name is Deepika Pandey anion I am 9 years old my father name is Dinesh Pandey my name is and my sister name is sister name is a

4 0
2 years ago
Other questions:
  • Which of the following terms relate to the meaning of "physical"?
    11·2 answers
  • Identify a wave that speeds up when it passes from air to water as well as one that slows down
    7·1 answer
  • Why did the chicken cross the road
    5·2 answers
  • A spring (k = 190 N/m) is fixed at the top of a frictionless plane inclined at angle θ = 33 °. A 1.0 kg block is projected up th
    10·1 answer
  • A hiker walks 15km due east then heads due north for 8km . What is the direction of the resultant vector?
    10·1 answer
  • Why do researchers work in teams?
    5·2 answers
  • An office heater puts out 2090 Btu (British thermal units) of energy in the form of heat per hour. Given that 1 Btu=1.055 kJ, ho
    5·1 answer
  • If a hammer has a resistance arm of 3 inches and the effort arm is 15 inches. What is the mechanical advantage?
    8·1 answer
  • ____ is the study of things getting faster as they move.
    5·2 answers
  • a car of mass 1150 kg drives in a circle of radius 44 m. if the car has a speed of 13 m/s what is the centripetal force acting o
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!