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
pochemuha
3 years ago
8

The equation Bold r (t )equals(8 t plus 9 )Bold i plus (2 t squared minus 8 )Bold j plus (6 t )Bold k is the position of a parti

cle in space at time t. Find the​ particle's velocity and acceleration vectors. Then write the​ particle's velocity at t equals 0 as a product of its speed and direction.
Physics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Explanation:

It is given that, the position of a particle as as function of time t is given by :

r(t)=(8t+9)i+(2t^2-8)j+6tk

Let v is the velocity of the particle. Velocity of an object is given by :

v=\dfrac{dr(t)}{dt}

v=\dfrac{d[(8t+9)i+(2t^2-8)j+6tk]}{dt}

v=(8i+4tj+6k)\ m/s

So, the above equation is the velocity vector.

Let a is the acceleration of the particle. Acceleration of an object is given by :

a=\dfrac{dv(t)}{dt}

a=\dfrac{d[8i+4tj+6k]}{dt}

a=(4j)\ m/s^2

At t = 0, v=(8i+0+6k)\ m/s

v(t)=\sqrt{8^2+6^2} =10\ m/s

Hence, this is the required solution.

You might be interested in
What state of matter did the earth need to be in order for planetary differentiation to occur?
STatiana [176]
Gas. I know this because first you will need to do the equator so I will say gas
8 0
3 years ago
How much work is done by 0.070 m3 of gas, when the volume remains constant with pressure of 63 x 105 Pa?
ICE Princess25 [194]

Answer:

W = 0 J

Explanation:

The amount of work done by gas at constant pressure is given by the following formula:

W = P\Delta V

where,

W = Work done by the gas

P = Pressure of the gas

ΔV = Change in the volume of the gas

Since the volume of the gas is constant. Therefore, there is no change in the volume of the gas:

W = P(0\ m^3)\\

<u>W = 0 J</u>

5 0
3 years ago
Crude oil is a mixture of many different components. The extraction of crude oil from the Earth is important, but its refinement
Neporo4naja [7]

Answer: Different fuel components boil at different temperatures, allowing them to be separated.

Explanation:

3 0
3 years ago
Suppose the microphone on an AM radio is not working properly. Which best explains how this will affect the process of amplitude
Anna007 [38]
You can have it your own definition of
3 0
3 years ago
Read 2 more answers
When converted to a household measurement, 9 kilograms is approximately equal to a
Evgen [1.6K]

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8lbs

3 0
3 years ago
Other questions:
  • 1. Consider three objects: Object A is a hoop of mass m and radius r; Object B is a sphere
    8·1 answer
  • How do you find potienal energy
    10·1 answer
  • The largest salami in the world, made in Norway, was more than 20 m long. If a hungry mouse ran around the salami’s circumferenc
    9·1 answer
  • Which phase of matter is made up of particles that are packed relatively close together, with an indefinite shape but a definite
    8·1 answer
  • You are standing at rest at a bus stop. A bus moving at a constant speed of 5.00 mm/???????? passes you. When the rear of the bu
    5·2 answers
  • A uniform diving board, 12 meters long and 20 kg in mass, is hinged at P, which is 5 meters from the edge of the platform. An 80
    13·1 answer
  • 2 Grade 11 Physics Questions. Will Mark BRAINLIEST!!!
    13·2 answers
  • A satellite is in a circular orbit around the Earth at an altitude of 3.18x10 m. Find the period and th orbital speed of the sat
    6·1 answer
  • an airplane is moving at a speed of 75 m/s. as it. lands on a. runwsys. if. the runway is. 500m long, what is the acceleration o
    11·1 answer
  • A 25 kg lamp is hanging from a rope. What is the tension force being supplied by the rope?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!