Homework Answers
the particle is moving in a circular motion in x-z plane with centre at (0,3,0)
radius of circular motion is =2.828 m
During the time 0 to pi, the particle has made 1.5 revolutions of the circle
Add Answer to:
The position function of a particle wandering about through 3-space is given by r(t) = (2...
calculus 3 8. The position of a particle moving in a circular path is given by...
calculus 3
8. The position of a particle moving in a circular path is given by r(t) =< -4 sin(3t), 4 cos(3t) >. Find the speed v of the particle at any time t.
Suppose that the position of particle 1 at time t is given by x_1 = 2...
Suppose that the position of particle 1 at time t is given by x_1 = 2 sin t. y_1 = 7 cost. 0 lessthanorequalto t lessthanorequalto 2 pi, and the position of particle 2 at time t is given by x_2 = -4 + cos t. y_2 = 9 + sin t. 0 lessthanorequalto t lessthanorequalto 2 pi. Find the maximum number of points of intersection of the paths of the two particles. Choose the answer from the following: 0...
A particle moves in the plane with position given by the vector valued function r(t)=cos^3(t)i+sin^3(t)j MA330...
A particle moves in the plane with position given by the
vector valued function r(t)=cos^3(t)i+sin^3(t)j
MA330 Homework #2 particle moves in the plane with position given by the vector-valued function The curve it generates is called an astrid and is plotted for you below. (a) Find the position att x/4 by evaluating r(x/4). Then draw this vector on the graph (b) Find the velocity vector vt)-r)-.Be sure to apply the power and (e) Find the velocity at t /4 by...
marks] The position of a particle is given as a function of time by r(t)=(1-cos(27t)i+ (1-t)sin(2nt)j+ 4tk with i (1,0,...
marks] The position of a particle is given as a function of time by r(t)=(1-cos(27t)i+ (1-t)sin(2nt)j+ 4tk with i (1,0,0), j = (0,1,0) andk = (0,0,1) the Cartesian basis vectors of R3. (a) Sketch the particle trajectory from t 0 tot= 1, as a 3D perspective plot and as the 2D projection onto the xy-plane. (b) Determiner(t) as a function of time t. (c) Is r'(t) greater for t 0 than it is for t 1? Justify your answer.
marks]...
The position vector r describes the path of an object moving in space. Position Vector r(t)...
The position vector r describes the path of an object moving in space. Position Vector r(t) = (cos(t), sin(t), 3t) t = 1 Time (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. a(T) = Submit Answer
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t...
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
1. Suppose that the position of one particle at time t is given by x1= 3...
1. Suppose that the position of one particle at time t is given by x1= 3 sint yı = 2 cost 0<1<21 and the position of a second particle is given by x2 = -3+ cost y2 = 1+ sin 1 0<t<21 (a)Graph the paths of both particles. How many points of intersection are there? (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time?...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the part...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Problem 2 The position of a particle at time tis F()-cost+jsint +kr (a) Show that both the speed ...
Problem 2 The position of a particle at time tis F()-cost+jsint +kr (a) Show that both the speed and magnitude of the acceleration are constant at all times (b) Show that the angle between the velocity and acceleration is time-independent. (c) Describe in a few words, albeit clearly, the motion of the particle, assuming F(0) 0. Suppose that 2+-sin(s) +cos(t) and ry-s-t 2.3 Fnd Fias a function of x, y, s, t. function of t 8
Problem 2 The position...
The vector r(t) is the position vector of a particle at time t. Find the angle...
The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = sin (3t) i + In(31 2 + 1)j + V32.1k os Oo 4 Moving to the next question prevents changes to this answer.
calculus 3
8. The position of a particle moving in a circular path is given by r(t) =< -4 sin(3t), 4 cos(3t) >. Find the speed v of the particle at any time t.
Suppose that the position of particle 1 at time t is given by x_1 = 2 sin t. y_1 = 7 cost. 0 lessthanorequalto t lessthanorequalto 2 pi, and the position of particle 2 at time t is given by x_2 = -4 + cos t. y_2 = 9 + sin t. 0 lessthanorequalto t lessthanorequalto 2 pi. Find the maximum number of points of intersection of the paths of the two particles. Choose the answer from the following: 0...
A particle moves in the plane with position given by the
vector valued function r(t)=cos^3(t)i+sin^3(t)j
MA330 Homework #2 particle moves in the plane with position given by the vector-valued function The curve it generates is called an astrid and is plotted for you below. (a) Find the position att x/4 by evaluating r(x/4). Then draw this vector on the graph (b) Find the velocity vector vt)-r)-.Be sure to apply the power and (e) Find the velocity at t /4 by...
marks] The position of a particle is given as a function of time by r(t)=(1-cos(27t)i+ (1-t)sin(2nt)j+ 4tk with i (1,0,0), j = (0,1,0) andk = (0,0,1) the Cartesian basis vectors of R3. (a) Sketch the particle trajectory from t 0 tot= 1, as a 3D perspective plot and as the 2D projection onto the xy-plane. (b) Determiner(t) as a function of time t. (c) Is r'(t) greater for t 0 than it is for t 1? Justify your answer.
marks]...
The position vector r describes the path of an object moving in space. Position Vector r(t) = (cos(t), sin(t), 3t) t = 1 Time (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. a(T) = Submit Answer
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
1. Suppose that the position of one particle at time t is given by x1= 3 sint yı = 2 cost 0<1<21 and the position of a second particle is given by x2 = -3+ cost y2 = 1+ sin 1 0<t<21 (a)Graph the paths of both particles. How many points of intersection are there? (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time?...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Problem 2 The position of a particle at time tis F()-cost+jsint +kr (a) Show that both the speed and magnitude of the acceleration are constant at all times (b) Show that the angle between the velocity and acceleration is time-independent. (c) Describe in a few words, albeit clearly, the motion of the particle, assuming F(0) 0. Suppose that 2+-sin(s) +cos(t) and ry-s-t 2.3 Fnd Fias a function of x, y, s, t. function of t 8
Problem 2 The position...
The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = sin (3t) i + In(31 2 + 1)j + V32.1k os Oo 4 Moving to the next question prevents changes to this answer.
Most questions answered within 3 hours.
-
find the critical value associated with a right sided hypothesis of
the mean using a sample...
asked 1 hour ago -
Which of the following statements is true with respect to a
simple linear regression model?
a....
asked 2 hours ago -
The energy required to remove an electron from a surface of a
solid element is called...
asked 3 hours ago -
How would you train your employees to avoid risks of using
mobile devices?
asked 4 hours ago -
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 5 hours ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 5 hours ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 6 hours ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 7 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 7 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 9 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 10 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 10 hours ago