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
wolverine [178]
4 years ago
5

Proposed Kinematic Exercise I

Physics
1 answer:
valentinak56 [21]4 years ago
3 0

Answer:

(a) 20 m

(b) 6 m/s²

(c) Between t=0 and t=2, the body moves to the left.

Between t=2 and t=4, the body moves to the right.

Explanation:

v = 3t² − 6t

x(0) = 4

(a) Position is the integral of velocity.

x = ∫ v dt

x = ∫ (3t² − 6t) dt

x = t³ − 3t² + C

Use initial condition to find value of C.

4 = 0³ − 3(0)² + C

4 = C

x = t³ − 3t² + 4

Find position at t = 4.

x = 4³ − 3(4)² + 4

x = 20

(b) Acceleration is the derivative of velocity.

a = dv/dt

a = 6t − 6

Find acceleration at t = 2.

a = 6(2) − 6

a = 6

(c) v = 3t² − 6t

v = 3t (t − 2)

The velocity is 0 at t = 0 and t = 2.  Evaluate the intervals.

When 0 < t < 2, v < 0.

When t > 2, v > 0.

You might be interested in
The trough of the sine curve used to represent a sound wave corresponds to
iren [92.7K]

Answer:

The correct answer is a rarefaction.

Explanation:

Sound waves are longitudinal waves that propagate in a medium, such as air. As the vibration continues, a series of successive condensations and rarefactions form and propagate from it. The pattern created in the air is something like a sinusoidal curve to represent a sound wave.

There are peaks in the sine wave at the points where the sound wave has condensations and valleys where it has rarefactions.

Have a nice day!

4 0
4 years ago
A simple harmonic wave of wavelength 18.7 cm and amplitude 2.34 cm is propagating along a string in the negative x-direction at
storchak [24]

Answer

given,

wavelength = λ = 18.7 cm

                    = 0.187 m

amplitude , A = 2.34 cm

v = 0.38 m/s

A)  angular frequency = ?

     f = \dfrac{v}{\lambda}

     f = \dfrac{0.38}{0.187}

     f =2.03\ Hz

angular frequency ,

ω = 2π f

ω = 2π x 2.03

ω = 12.75 rad/s

B) the wave number ,

      K = \dfrac{2\pi}{\lambda}

     K= \dfrac{2\pi}{0.187}

    K =33.59\ m^{-1}

C)

as the wave is propagating in -x direction, the sign is positive between x and t

y ( x ,t) = A sin(k  x - ω t)

y ( x ,t) = 2.34  x  sin(33.59 x - 12.75 t)

4 0
3 years ago
B) The student continues her investigation by loading the spring with different masses. The table shows her result.
liubo4ka [24]

Answer:

1) Id say the dependant is the distance

2) the force is calculated by dividing the mass by 100

Explanation:

the dependant variable is the variable you measure wich is in this case distance.

3 0
3 years ago
A point charge of 4 µC is located at the center of a sphere with a radius of 25 cm. Find the electric flux through the surface o
givi [52]

Answer:

Ф = 4.5176x10⁵ N . m² / C

Explanation:

In this case, we need to use two expressions in order to calculate the electric flux of the sphere.

First the Electric flux is calculated using this expression:

Ф = E * A  (1)

Where:

E: Electric field

A: Area of the sphere

To get the electric field E, we use this expression:

E = K * q / r²    (2)

If we replace (2) into (1) we have the following:

Ф = K * q * A / r²    (3)

Finally, we need to know the expression to get the area of a sphere which is the following:

A = 4πr²   (4)

Replacing into (3):}

Ф = K * Q * 4πr² / r²       discarting r²:

Ф = K * Q * 4π   (5)

Now, all we need to do is replace the given values and solve for the electric flux of the sphere:

Ф = 8.98755x10⁹ * 4x10⁻⁶ * 4 * π

<h2>Ф = 4.5176x10⁵ N . m² / C</h2>

Hope this helps

5 0
3 years ago
Please help me with thus question (picture) D:
IrinaVladis [17]

well thanks for the Information

4 0
3 years ago
Read 2 more answers
Other questions:
  • In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these s
    8·1 answer
  • What is indirect sunlight? how does the tilt of the earth affect which type of sunlight the earth receives?
    8·1 answer
  • Important phase of newton education and scientific work occurred in isolation why might this have been helpful to him
    14·1 answer
  • Why can't electrons position be pinpointed
    12·2 answers
  • The rare earth elements include
    7·1 answer
  • What do radio waves and microwaves have in common?
    14·1 answer
  • A man known as H. M. suffered from _________ after an operation removed portions of his ____________.
    12·1 answer
  • Neutrons have ________ charge.
    13·2 answers
  • A motorist is driving at 15 m/s when she sees that a traffic light 315m ahead has just turned red. She knows that this light sta
    11·1 answer
  • A car takes 9 m to stop after the driver applies the brakes.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!