Homework Answers
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^ ^ A position vector is given by r() = At4+8cos(on+ ck, where A-4.7, B=1 m,...
The position vector of a point which moves in the x-y plane is given by: r...
The position vector of a point which moves in the x-y plane is given by: r = (- 0.2 t4 + 1.8 t3 + 1.1 t2) i + (- 0.4 t4 - 1.2 t) j where r is in meters and t is in seconds. Determine the angle between the velocity v and the acceleration a when t = 1.7 sec.
. A particle has an initial position vector r=0 and an initial velocity v0=3i +2j(where distance...
. A particle has an initial position vector r=0 and an initial velocity v0=3i +2j(where distance is measured in meters and velocity in meters per second).The particle moves with a constant acceleration a=i -4j(measured in m/s2).At what time does the particle reach a maximum y coordinate? What is the position vector of the particle at that time?
Use Greens theorem (b) Let r(t) = X(t)i+Y(t)j be the position of the planet at the...
Use Greens theorem
(b) Let r(t) = X(t)i+Y(t)j be the position of the planet at the instant t and we suppose that the sun is located at the origin (0,0). Between the times t; and t2, the line joining the sun and the planet sweeps out an area Altı, t2) (see the blue region). Express A(t1, t2) in terms of X(t), Y(t), X(t)' and Y (t)'. (c) We denote by F(t) the force exerted on the planet by the sun...
1. The position of a particle is described as r=xi+yj, where i and j are the...
1. The position of a particle is described as r=xi+yj, where i and j are the coordinate unit vectors in 2D Cartesian coordinates a?d x and y are the coordinates of a particle. The velocity can be calculated as v=dr/dt. Find an expression for v, by taking the derivative of r with respect to time. 2. a=2.00 t, where t is the time, in seconds, and a is the acceleration in meters per second squared. s=0 and v=0 at t=0....
Starting from a location with position vector 11,2 = -11.7 m and 11, = 23.1 m,...
Starting from a location with position vector 11,2 = -11.7 m and 11, = 23.1 m, a rabbit hops around for 11.3 seconds with average velocity Vava = -2.23 m/s and very = 1.55 m/s. Find the components of the position vector of the rabbit's final location, T2, and 12. A turtle ambles leisurely from a location with position vector 11 = 1.01 m and 11y = -2.21 m in a lettuce garden to another location with position vector 1...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The position vector of a particle of mass 2.10 kg as a function of time is...
The position vector of a
particle of mass 2.10 kg as a function of time is given by r with
arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t
is in seconds. Determine the angular momentum of the particle about
the origin as a function of time. k kg · m2/s
6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...
The vector position of a particle varies in time according to the expression r = 8.20...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
Suppose that the position vector of a particle is given by the following function of time:...
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?
The position vector for an electron is r Overscript right-arrow EndScripts equals left-parenthesis 4.7 m right-parenthesis...
The position vector for an
electron is r Overscript right-arrow EndScripts equals
left-parenthesis 4.7 m right-parenthesis i Overscript ? EndScripts
minus left-parenthesis 8.5 m right-parenthesis j Overscript ?
EndScripts plus left-parenthesis 8.6 m right-parenthesis k
Overscript ? EndScripts. Find the magnitude of r Overscript
right-arrow EndScripts.
The position vector for an electron is 4.7m- 18.5 m 7 mi 8.5 m8.6 m 8.6 m k. Find the magnitude of r Numbe UnitšT nm the tolerance is +/-1 in the 2nd significant...
Use Greens theorem
(b) Let r(t) = X(t)i+Y(t)j be the position of the planet at the instant t and we suppose that the sun is located at the origin (0,0). Between the times t; and t2, the line joining the sun and the planet sweeps out an area Altı, t2) (see the blue region). Express A(t1, t2) in terms of X(t), Y(t), X(t)' and Y (t)'. (c) We denote by F(t) the force exerted on the planet by the sun...
Starting from a location with position vector 11,2 = -11.7 m and 11, = 23.1 m, a rabbit hops around for 11.3 seconds with average velocity Vava = -2.23 m/s and very = 1.55 m/s. Find the components of the position vector of the rabbit's final location, T2, and 12. A turtle ambles leisurely from a location with position vector 11 = 1.01 m and 11y = -2.21 m in a lettuce garden to another location with position vector 1...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The position vector of a
particle of mass 2.10 kg as a function of time is given by r with
arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t
is in seconds. Determine the angular momentum of the particle about
the origin as a function of time. k kg · m2/s
6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The position vector for an
electron is r Overscript right-arrow EndScripts equals
left-parenthesis 4.7 m right-parenthesis i Overscript ? EndScripts
minus left-parenthesis 8.5 m right-parenthesis j Overscript ?
EndScripts plus left-parenthesis 8.6 m right-parenthesis k
Overscript ? EndScripts. Find the magnitude of r Overscript
right-arrow EndScripts.
The position vector for an electron is 4.7m- 18.5 m 7 mi 8.5 m8.6 m 8.6 m k. Find the magnitude of r Numbe UnitšT nm the tolerance is +/-1 in the 2nd significant...
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