Homework Answers
For any doubt please ask me..and if you
satisfied please thumbs-up for this answer
Add Answer to:
An object is moving around the plane with velocity given by y(t) = (3,2t) for timet...
Given ř(t) =< 2 cost, t, 2 sint > as a trace of a moving object....
Given ř(t) =< 2 cost, t, 2 sint > as a trace of a moving object. (a) Find the curvature of K(t). (b) Find the arc length when 0<t <31. (c) Find the unit normal and binormal vectors of F(t).
The velocity vector of an object is given by y(t) = (* sin(at), 1, a cos(at))....
The velocity vector of an object is given by y(t) = (* sin(at), 1, a cos(at)). Assume that at t = 1, the object is at the point P(1,1,0). (a) Find the position vector F(t) of the object. (b) Find parametric equations of the line which is tangent to r(t) at P. (c) Find the distance that the object traveled from the point t = 0 to t = 1. (d) Find an equation for the normal plane of r(t)...
Given: r(t) = <t, <t,>, a) sketch the plane curve represented byř (indicate the orientation), b)...
Given: r(t) = <t, <t,>, a) sketch the plane curve represented byř (indicate the orientation), b) find the velocity, acceleration and speed functions, c) find the values of t for which the speed is increasing, d) find and sketch the vectors: ř(1), 7(1), and ā(l), (on your graph), and e) find ī (1) and N(1).
The coordinates of an object moving in the xy plane vary with time according to the...
The coordinates of an object moving in the xy plane vary with time according to the equations x-_9.47 sin at and y = 4.00-9.47 cos út, where ω is a constant, x and y are in meters, and t is in seconds. (a) Determine the components of velocity of the object at t = O. (Use the following as necessary: ω·) V--9.47 cos(t),9.47 sin(m/s (b) Determine the components of the acceleration of the object at t-0. (Use the following as...
Given information: An object is moving with velocity (in feet per second) described by the function...
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
Question 82 A object moving in an x-y plane is first observed (time "-0") at the...
Question 82 A object moving in an x-y plane is first observed (time "-0") at the location x 3m, where it has a velocity of magnitude 5 m's in the ty-direction. The object then experiences the following acceleration as a function of time: ãe) (12e)+ (14 32) Note that snits have been omited: assume that putting in ()-s will give (aj-m/s) Part A: Find the velocity of the object as a function of time, (). Express your answer in unit-vector...
Show all work. The function s = f(t) gives the position of a moving object 9)...
Show all work.
The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
Consider the autonomous differential equation dy dt = = y(k - y), t> 0, k >...
Consider the autonomous differential equation dy dt = = y(k - y), t> 0, k > 0 (i) list the critical points (ii) sketch the phase line and classify the critical points according to their stability (iii) Determine where y is concave up and concave down (iv) sketch several solution curves in the ty-plane.
(a) The velocity of a particle moving in the x - y plane is given by...
(a) The velocity of a particle moving in the x - y plane is given by ☺ = ((-3.2t+ 9.6 t)i + (2.4t + 4.0)j) m/s, where v is in meters per second and t in seconds. The particle is at the origin of the coordinate system at t = 0 s. i. Determine the magnitude of the acceleration of the particle at t = 2.5 s. ANS: ii. Determine the position of the particle at t = 2.5 s....
An object is moving in the xy-plane and its position after t-seconds is r(t)-t 2, t2...
An object is moving in the xy-plane and its position after t-seconds is r(t)-t 2, t2 - 2t>. (a) Find the position of the object at time t-5. C 3 15 (b) At what time is the object at the point (O, 0)? t- (c) Does the object pass through the point (4, 28)? Yes 0 No (d) Find an equation in x and y whose graph is the path of the object.
Given ř(t) =< 2 cost, t, 2 sint > as a trace of a moving object. (a) Find the curvature of K(t). (b) Find the arc length when 0<t <31. (c) Find the unit normal and binormal vectors of F(t).
The velocity vector of an object is given by y(t) = (* sin(at), 1, a cos(at)). Assume that at t = 1, the object is at the point P(1,1,0). (a) Find the position vector F(t) of the object. (b) Find parametric equations of the line which is tangent to r(t) at P. (c) Find the distance that the object traveled from the point t = 0 to t = 1. (d) Find an equation for the normal plane of r(t)...
Given: r(t) = <t, <t,>, a) sketch the plane curve represented byř (indicate the orientation), b) find the velocity, acceleration and speed functions, c) find the values of t for which the speed is increasing, d) find and sketch the vectors: ř(1), 7(1), and ā(l), (on your graph), and e) find ī (1) and N(1).
The coordinates of an object moving in the xy plane vary with time according to the equations x-_9.47 sin at and y = 4.00-9.47 cos út, where ω is a constant, x and y are in meters, and t is in seconds. (a) Determine the components of velocity of the object at t = O. (Use the following as necessary: ω·) V--9.47 cos(t),9.47 sin(m/s (b) Determine the components of the acceleration of the object at t-0. (Use the following as...
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
Question 82 A object moving in an x-y plane is first observed (time "-0") at the location x 3m, where it has a velocity of magnitude 5 m's in the ty-direction. The object then experiences the following acceleration as a function of time: ãe) (12e)+ (14 32) Note that snits have been omited: assume that putting in ()-s will give (aj-m/s) Part A: Find the velocity of the object as a function of time, (). Express your answer in unit-vector...
Show all work.
The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
Consider the autonomous differential equation dy dt = = y(k - y), t> 0, k > 0 (i) list the critical points (ii) sketch the phase line and classify the critical points according to their stability (iii) Determine where y is concave up and concave down (iv) sketch several solution curves in the ty-plane.
(a) The velocity of a particle moving in the x - y plane is given by ☺ = ((-3.2t+ 9.6 t)i + (2.4t + 4.0)j) m/s, where v is in meters per second and t in seconds. The particle is at the origin of the coordinate system at t = 0 s. i. Determine the magnitude of the acceleration of the particle at t = 2.5 s. ANS: ii. Determine the position of the particle at t = 2.5 s....
An object is moving in the xy-plane and its position after t-seconds is r(t)-t 2, t2 - 2t>. (a) Find the position of the object at time t-5. C 3 15 (b) At what time is the object at the point (O, 0)? t- (c) Does the object pass through the point (4, 28)? Yes 0 No (d) Find an equation in x and y whose graph is the path of the object.
Most questions answered within 3 hours.
-
(Expected rate of return and risk) Carter Inc. is evaluating a
security. Calculate the investment’s expected...
asked 1 hour ago -
What specific indicators can point to lack of progress for
African Americans in American society?
asked 2 hours ago -
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 2 hours ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 2 hours ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 3 hours ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 3 hours ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 4 hours ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 5 hours ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 5 hours ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 6 hours ago -
Oscar Inc. has inventory in Japan valued at 39,051,000 Yen one
year ago. One year ago...
asked 6 hours ago -
If Canada suffered from "fundamental disequilibrium," and its
government choose not to devalue its currency, a...
asked 6 hours ago