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.
-
A reaction vessel at 27 ∘C contains a mixture of SO2(P=3.10 atm
) and O2(P=1.00 atm...
asked 15 minutes ago -
A scientist randomly mutates the DNA of a bacterium. She then
sequences the bacterium’s daughter cells,...
asked 26 minutes ago -
2. Content theories attempt to explain work behaviors based on
__________.
a. the relationship between values...
asked 19 minutes ago -
Discuss the impact of technology on Medieval society and culture
and the impact of society and...
asked 15 minutes ago -
Assignment 3: Introduction & Environmental Analysis,
SWOT, Marketing Objectives (Goals) Marketing 4100
Directions
Total Point Value:...
asked 7 minutes ago -
Forecasts and actual sales of MP3 players at Just Say
Music are as follows:
Month
Forecast...
asked 8 minutes ago -
function predictKNN which computes the KNN prediction for given
input xi, K and train data.
A...
asked 20 minutes ago -
A 3.15-g bullet embeds itself in a 1.17-kg block, which is
attached to a spring of...
asked 34 minutes ago -
A hawk is flying horizontally at 24.0 m/s in a straight line,
185 m above the...
asked 35 minutes ago -
Draw a Supply and Demand Graph for yourself. Now draw a dashed
line vertically down through...
asked 32 minutes ago -
1a. An aqueous solution of calcium hydroxide is
standardized by titration with a 0.116 M solution...
asked 37 minutes ago -
In response to concerns about nutritional contents of fast
foods, McDonald's has announced that it will...
asked 53 minutes ago