A particle's position ?⃗ as a function of time ? is given by ?⃗ (?)=??^3?̂ +(??−??4)?̂...
A particle's position ?⃗ as a function of time ? is given by ?⃗ (?)=??^3?̂ +(??−??4)?̂ . where a=5.00 m/s^3, b=3.00 m/s, and c=6.00 m/s^4. At t=2.45 s find:
(e)The x-component of velocity.
(f)The y-component of velocity.
(g)The magnitude of the velocity vector.
(h)The direction of the velocity vector. Your answer for this part should be in the range of -180 to 180 degrees.
(i)The x-component of the acceleration.
(j)The y-component of the acceleration.
(k)The magnitude of the acceleration vector.
(l)The direction of the acceleration vector. Your answer for this part should be in the range of -180 to 180 degrees.
Homework Answers
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A particle's position ?⃗ as a function of time ? is given by ?⃗
(?)=??^3?̂ +(??−??4)?̂...
Velocity in xy-Plane Part A A particle's position in the xy-plane is given by the vector...
Velocity in xy-Plane Part A A particle's position in the xy-plane is given by the vector (ct2 - 2dt3i(3ct2 - di3)j, where c and d are positive constants. Find the expression for the x- component of the velocity (for time t> 0) when the particle is moving in the x-direction. You should express your answer in terms of the variables c and d. D (2ct-6dt 2) First find the velocity vector and use this to determine the times when the...
Velocity in xy-Plane Part A particle's position in the xy- plane is given by the vector...
Velocity in xy-Plane Part A particle's position in the xy- plane is given by the vector (er-2d+(e-d where c and d are positive constants. Find the expression for the x component of the velocity (for met 0) when the pertide is roving the r-direction. You should express your answer in terms of the variables c endd. First find the velocity vector and use this to determine the times when the particle is traveling in the x or y directions. Tries...
Part A: A particle's position in the xy plane is given by the vector r= (ct^2-3dt^3)i...
Part A: A particle's position in the xy plane is given by the
vector r= (ct^2-3dt^3)i + (2ct^2-dt^3)j where c and d are positive
constants. Find the expression for the velocity (for time t > 0)
when the particle is moving in the x-direction. You should express
your answer in terms of the variables c and d.
Part B: Find the expression for velocity (for time t > 0)
when the particle is moving in the y direction.
Part A...
t (s) Figure 4-31 gives the angle 8 of the particle's direction of travel as a...
t (s) Figure 4-31 gives the angle 8 of the particle's direction of travel as a function of t (θ is measured from the positive x direction). What are (a) e and (b) f, including units? Figure 4-31 Problem 10 t Module 4-3 Average Acceleration and Instantaneous Acceleration 11 G The position of a particle moving in an xy plane is given by → = (2.00N-5.00)i + (6.00-7.00rjj , with r in meters and t in seconds. In unit-vector notation,...
The position T of a particle moving in an xy plane is given by (3.006.00(3.00 1.00r...
The position T of a particle moving in an xy plane is given by (3.006.00(3.00 1.00r with in meters and t in seconds. In unit-vector notation, calculate (a) r, (b) v, and (c) a fort 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t- 3.00 s? Give your answer in the range of (-180°; 180°) (a) Number (b) Number (c) Number (d) Number j...
(8c4095) A partide travels with constant speed on a circle o radi s r 5.0 m see the gure and c mple es one revol tion n 20 0·The particle passes through 0 at t of the following vectors. With respec...
(8c4095) A partide travels with constant speed on a circle o radi s r 5.0 m see the gure and c mple es one revol tion n 20 0·The particle passes through 0 at t of the following vectors. With respect to 0, find the particle's position vector at t-5.0 s. What is it magnitude? 7.07 m o Fi d the magnitude and direction each You are correct. receipt no. is 161-3332 Previous Tries A par ce p tra els...
Show how you solved Velocity in xy-Plane Part A A particle's position in the xy-plane is...
Show how you solved
Velocity in xy-Plane Part A A particle's position in the xy-plane is given by the vector r (ct2-5dt3)计(2ct2-de)j, where c and d are positive constants. Find the expression for the velocity (for time t> 0) when the particle is moving in the x-direction. You should express your answer in terms of the variables c and d. Submit Answer Tries o/6 Part B Find the expression for velocity (for time t > 0) when the particle is...
Constants |Periodic Table The position of a particular particle as a function of time is given...
Constants |Periodic Table The position of a particular particle as a function of time is given by T (9.60ti + 8.85j-1.00t k)m, where t is in seconds. PartA Determine the particle's velocity as a function of time. Express your answer in terms of the unit vectors i, j, and k. m/s u= Submit Request Answer Part B Determine the particle's acceleration as a function of time Express your answer in terms of the unit vectors i, j, and k. Submit...
A particle P travels with constant speed on a circle of radius r = 2.40 m...
A particle P travels
with constant speed on a circle of radius r = 2.40 m (see
the figure) and completes one revolution in 20.0 s. The particle
passes through O at time t = 0.
At t = 5.00 s, what is the particle's position vector?
Give (a) magnitude and (b)
direction (as an angle relative to the positive direction of
x.
At t = 7.50 s, what is the particle's position vector?
Give (c) magnitude and (d)
direction...
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...
Velocity in xy-Plane Part A A particle's position in the xy-plane is given by the vector (ct2 - 2dt3i(3ct2 - di3)j, where c and d are positive constants. Find the expression for the x- component of the velocity (for time t> 0) when the particle is moving in the x-direction. You should express your answer in terms of the variables c and d. D (2ct-6dt 2) First find the velocity vector and use this to determine the times when the...
Velocity in xy-Plane Part A particle's position in the xy- plane is given by the vector (er-2d+(e-d where c and d are positive constants. Find the expression for the x component of the velocity (for met 0) when the pertide is roving the r-direction. You should express your answer in terms of the variables c endd. First find the velocity vector and use this to determine the times when the particle is traveling in the x or y directions. Tries...
Part A: A particle's position in the xy plane is given by the
vector r= (ct^2-3dt^3)i + (2ct^2-dt^3)j where c and d are positive
constants. Find the expression for the velocity (for time t > 0)
when the particle is moving in the x-direction. You should express
your answer in terms of the variables c and d.
Part B: Find the expression for velocity (for time t > 0)
when the particle is moving in the y direction.
Part A...
t (s) Figure 4-31 gives the angle 8 of the particle's direction of travel as a function of t (θ is measured from the positive x direction). What are (a) e and (b) f, including units? Figure 4-31 Problem 10 t Module 4-3 Average Acceleration and Instantaneous Acceleration 11 G The position of a particle moving in an xy plane is given by → = (2.00N-5.00)i + (6.00-7.00rjj , with r in meters and t in seconds. In unit-vector notation,...
The position T of a particle moving in an xy plane is given by (3.006.00(3.00 1.00r with in meters and t in seconds. In unit-vector notation, calculate (a) r, (b) v, and (c) a fort 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t- 3.00 s? Give your answer in the range of (-180°; 180°) (a) Number (b) Number (c) Number (d) Number j...
(8c4095) A partide travels with constant speed on a circle o radi s r 5.0 m see the gure and c mple es one revol tion n 20 0·The particle passes through 0 at t of the following vectors. With respect to 0, find the particle's position vector at t-5.0 s. What is it magnitude? 7.07 m o Fi d the magnitude and direction each You are correct. receipt no. is 161-3332 Previous Tries A par ce p tra els...
Show how you solved
Velocity in xy-Plane Part A A particle's position in the xy-plane is given by the vector r (ct2-5dt3)计(2ct2-de)j, where c and d are positive constants. Find the expression for the velocity (for time t> 0) when the particle is moving in the x-direction. You should express your answer in terms of the variables c and d. Submit Answer Tries o/6 Part B Find the expression for velocity (for time t > 0) when the particle is...
Constants |Periodic Table The position of a particular particle as a function of time is given by T (9.60ti + 8.85j-1.00t k)m, where t is in seconds. PartA Determine the particle's velocity as a function of time. Express your answer in terms of the unit vectors i, j, and k. m/s u= Submit Request Answer Part B Determine the particle's acceleration as a function of time Express your answer in terms of the unit vectors i, j, and k. Submit...
A particle P travels
with constant speed on a circle of radius r = 2.40 m (see
the figure) and completes one revolution in 20.0 s. The particle
passes through O at time t = 0.
At t = 5.00 s, what is the particle's position vector?
Give (a) magnitude and (b)
direction (as an angle relative to the positive direction of
x.
At t = 7.50 s, what is the particle's position vector?
Give (c) magnitude and (d)
direction...
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...
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