DIFFERENTIAL EQUATION PROBLEM
An object with a mass of 2 kg moves along the x-axis and we will
assume that the positive direction of movement is to the right.
Only one force (in N) is present and opposes the movement. Let
be the speed of the object (in m / s) at time t. The object starts
from the origin (x = 0) with an initial speed of 75 m / s. Suppose
that the resistance force has a magnitude equal to 
a) how long will it take for the object to reach position x = 70 m?
b) if we let time go to infinity, what total distance will the object travel?
Homework Answers
Add Answer to:
DIFFERENTIAL EQUATION PROBLEM
An object with a mass of 2 kg moves along the x-axis and...
1) An object moves from point A to point B. Calculate the work done on the object by the force ve...
1)
An object moves from point A to point B. Calculate the work done
on the object by the force vector field:
2)
Calculate, in two different ways, the flow of
the vector field
coming out of the surface
S of the volume below. The volume inside this surface is π.
We were unable to transcribe this image(3,0,2) We were unable to transcribe this imageS3 (z = 1 + x)
(3,0,2)
S3 (z = 1 + x)
An object moves along the x axis according to the equation x 3.70t2 2.00t 3.00, where...
An object moves along the x axis according to the equation x 3.70t2 2.00t 3.00, where x is in meters and t is in seconds. (a) Determine the average speed betweent 2.90 s and t - 4.50 s. m/s b) Determine the instantaneous speed at t -2.90 s. m/s Determine the instantaneous speed at t 4.50 s. m/s (c) Determine the average acceleration between t-2.90 s and t 4.50 s. m/s2 (d) Determine the instantaneous acceleration at t 2.90 s...
An object moves along the x axis according to the equation x = 3.40t^2 - 2.00t...
An object moves along the x axis according to the equation x = 3.40t^2 - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.60 s and t = 4.00 s. m/s (b) Determine the instantaneous speed at t = 2.60 s. m/s Determine the instantaneous speed at t = 4.00 s. m/s (c) Determine the average acceleration between t = 2.60 s and t = 4.00 s....
An object moves along the x axis according to the equation x 2 .75p-2.00t + 3.00,...
An object moves along the x axis according to the equation x 2 .75p-2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t 2.50 s and t 4.10 s. m/s (b) Determine the instantaneous speed at t 2.50 s. m/s Determine the instantaneous speed at t- 4.10 s m/s (c) Determine the average acceleration between t 2.50 s and t-4.10s m/s? (d) Determine the instantaneous acceleration at t 2.50 s...
Please help solve this, using the equation to get through the problem. Additional information: where the...
Please help solve this, using the equation
to get through the problem.
Additional information:
where the initial position
, the initial speed
The above differential equation can also be written as:
If
, there is light damping where the solution has the form ( where r
and w are two positive constants)
or
If
there is heavy damping where,
where
and
are two positive constants
If
there is critical damping where,
where r is a positive constant
d'y dy ma...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 3.20 s and t = 4.70 s. ____m/s (b) Determine the instantaneous speed at t = 3.20 s. ____ m/s Determine the instantaneous speed at t = 4.70 s. ____ m/s (c) Determine the average acceleration between t = 3.20 s and t =...
an object moves in the +x direction at a speed of 48 m/s. As it passes...
an object moves in the +x direction at a speed of 48 m/s. As it passes through the origin, it starts to experience a constant acceleration of 4.0 m/s^2 in the -x direction. a. how much time elapses before the object returns to the origin? b. what is the magnitude of the velocity of the object when it returns to the origin? c. what is the direction of the velocity of the object when it returns to the origin? -x...
An object moves along the x axis according to the equation x = 3.30p-2.00 t +...
An object moves along the x axis according to the equation x = 3.30p-2.00 t + 3.00, where x is in meters and t is in seconds. a) Detecmine the average speed betweent3.30 s m/s and t 4.80s (b) Determine the instantaneous speed at t-3.30 s m/s Determine the instantaneous speed at t4.80 s m/s (c) Determine the average acceleration between t "3.30 s and t "4.80 s. m/s (d) Determine the instantaneous acceleration at t-3.30 s. Determine the instantaneous...
An object moves along the x axis according to the equation x = 3, 15t2-2.00t +...
An object moves along the x axis according to the equation x = 3, 15t2-2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t-2.40 s and t 4.40 s m/s (b) Determine the instantaneous speed at t2.40 s m/s Determine the instantaneous speed at t4.40 s m/s (c) Determine the average acceleration between t-2.40 s and t- 4.40 s. m/s2 (d) Determine the instantaneous acceleration at t2.40 s m/s2 Determine...
A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its...
A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its potential energy due to the force is U(x) = ax4 + bx2 , where a = 2.5 J/m4 and b = 12 J/m2 a) What is the force on the object when x = 0.5 m? b) If the object is released from rest at x = 0.5 m, what is its velocity when it crosses the origin?
1)
An object moves from point A to point B. Calculate the work done
on the object by the force vector field:
2)
Calculate, in two different ways, the flow of
the vector field
coming out of the surface
S of the volume below. The volume inside this surface is π.
We were unable to transcribe this image(3,0,2) We were unable to transcribe this imageS3 (z = 1 + x)
(3,0,2)
S3 (z = 1 + x)
An object moves along the x axis according to the equation x 3.70t2 2.00t 3.00, where x is in meters and t is in seconds. (a) Determine the average speed betweent 2.90 s and t - 4.50 s. m/s b) Determine the instantaneous speed at t -2.90 s. m/s Determine the instantaneous speed at t 4.50 s. m/s (c) Determine the average acceleration between t-2.90 s and t 4.50 s. m/s2 (d) Determine the instantaneous acceleration at t 2.90 s...
An object moves along the x axis according to the equation x = 3.40t^2 - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.60 s and t = 4.00 s. m/s (b) Determine the instantaneous speed at t = 2.60 s. m/s Determine the instantaneous speed at t = 4.00 s. m/s (c) Determine the average acceleration between t = 2.60 s and t = 4.00 s....
An object moves along the x axis according to the equation x 2 .75p-2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t 2.50 s and t 4.10 s. m/s (b) Determine the instantaneous speed at t 2.50 s. m/s Determine the instantaneous speed at t- 4.10 s m/s (c) Determine the average acceleration between t 2.50 s and t-4.10s m/s? (d) Determine the instantaneous acceleration at t 2.50 s...
Please help solve this, using the equation
to get through the problem.
Additional information:
where the initial position
, the initial speed
The above differential equation can also be written as:
If
, there is light damping where the solution has the form ( where r
and w are two positive constants)
or
If
there is heavy damping where,
where
and
are two positive constants
If
there is critical damping where,
where r is a positive constant
d'y dy ma...
An object moves along the x axis according to the equation x = 3.30p-2.00 t + 3.00, where x is in meters and t is in seconds. a) Detecmine the average speed betweent3.30 s m/s and t 4.80s (b) Determine the instantaneous speed at t-3.30 s m/s Determine the instantaneous speed at t4.80 s m/s (c) Determine the average acceleration between t "3.30 s and t "4.80 s. m/s (d) Determine the instantaneous acceleration at t-3.30 s. Determine the instantaneous...
An object moves along the x axis according to the equation x = 3, 15t2-2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t-2.40 s and t 4.40 s m/s (b) Determine the instantaneous speed at t2.40 s m/s Determine the instantaneous speed at t4.40 s m/s (c) Determine the average acceleration between t-2.40 s and t- 4.40 s. m/s2 (d) Determine the instantaneous acceleration at t2.40 s m/s2 Determine...
Most questions answered within 3 hours.
-
Industry: Telecommunications in India
Here, you need to discuss the sources of the growth pattern
and...
asked 1 minute ago -
Hydrobromic acid
dissolves solid iron according to the followiaung reaction:
Fe(s)+2HBr(aq)→
FeBr2(aq)+ H2(g)
Part A. What...
asked 1 hour ago -
Verify the following vector identity in SPHERICAL
COORDINATES.
div(curl(A)) = 0
asked 3 hours ago -
The work function (Φ) for a metal is 7.50×10-19 J.
What is the longest wavelength (nm)...
asked 4 hours ago -
1. Would the following procedural changes cause the
calculated mass percent Ni2+ ion in Ni(NH3)nCl2 to...
asked 5 hours ago -
1. Why does the voltage of the capacitor vary with frequency?
where does this missing voltage...
asked 6 hours ago -
p p please write each step out clearly
3. A manager of a company is considering...
asked 5 hours ago -
On October 1, Ebony Ernst organized Ernst Consulting; on October
3, the owner contributed $83,540 in...
asked 7 hours ago -
A.)As an electron moves through a region of space, its speed
decreases from 9.60 × 106...
asked 7 hours ago -
In java with the netbeans program do:
Through object programming
Create a class "ContadorP", which is...
asked 7 hours ago -
Pattern Corporation acquired all of Science
Company's outstanding stock on January 1, 2016 for $600,000 cash....
asked 7 hours ago -
Here are all accounts Tyler Co. maintains.
Tax expenses $4,750
Common stocks $48,840
SG&A expenses $2,500...
asked 7 hours ago