
At t=0 a particle starts from rest at x=0, y=0 and moves in the xy plane with an acceleration a=(4.0i+3.0j)m/s^2. Determine (a) the x and y components of velocity, (b) the speed of the particle, and (c) the position of the particle, all as a function of

A 2.51 kg particle moves in the xy plane with a velocity of v = ( 4.98 , 3.58 ) m/s. Determine the angular momentum of the particle about the origin when its position vector is r = ( 1.73 , 1.15 ) m.

A particle is traveling along a onedimensional path (such as a number line). The position of the particle is governed by the time function x(t) ƒ 3t 4 ƒ{16t3 ƒy18t 2 ƒy 2 , where t is in minutes and 0 „T t „T 5 . Answer the following questions.

A force acting on a particle moving in the xy plane is given by Fx = (2yi +x^2j)N, where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m and y=5.00m, as in Fig. Calculate the work done by F along (a)

The position vector r of a particle moving in the xy plane is r=2ti+2sin[(pi/4)t]j , with is in meters and t in seconds. (a) Calculate the x and y components of the particle's position at , and 4.0 s and sketch the particle's path in the plane for the


1.The position of a particle moving on the line y = 2 is given by x(t)= 2t^313t^2+22t5 where t is time in seconds. When is the particle at rest? a. t =0.268, 2.500, and 3.732 b. t = 0, 1.153, and 3.180 c. t = 1.153, 2.167 and 3.180 d. t = 2.167 e. t =

1) A particle moves in the xy plane (see the from the origin to a point having coordinates x = 7m and y = 5m under the influence of a force given by F= 3yi^2  5xj. a) What is the work done on the particle by the force F if it moves along path 1? (ABD) J

At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration >a = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the position of the particle as a function of time t. Express your answer in terms of the

A particle moves along the xaxis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3  3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is

A particle moves along the xaxis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3  3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is

A particle leaves the origin with an initial velocity = (2.35 m/s) and moves with constant acceleration = (1.90 m/s2) + (2.60 m/s2)>. (a) How far does the particle move in the x direction before turning around? m (b) What is the particle's velocity at

A particle moves on the xaxis so that its velocity at any time t is given by v(t) = sin 2t. At t = 0, the particle is at the origin. a)For 0 ≤ t ≤ π, find all values of t for which the particle is moving to the left. b)Write an expression for the

A force acting on a particle moving in the xy plane is given by Fx = (2yi +x^2j)N, where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m and y=5.00m, as in Fig. Calculate the work done by F along (a)

a particle moves along a number line measured in cm so that its position at time t sec is given by s=72/(t+2) +k, k is a constant and t>=0 seconds. (a) Find the instantaneous velocity of the particle at t=4 seconds (b) Find the acceleration of the particle

A movig particle encounters an external electric field that decreases its kinetic energy from 9670 eV to 7540 eV as the particle moves from position A to position B. The electric potential at A is 66.0 V, and that at B is +16.0 V. Determine the charge of


A moving particle encounters an external electric field that decreases its kinetic energy from 9530 eV to 7800 eV as the particle moves from position A to position B. The electric potential at A is 69.0 V, and that at B is +39.0 V. Determine the charge of

A particle moves along the x axis. It is initially at the position 0.280 m, moving with velocity 0.080 m/s and acceleration 0.240 m/s2. Suppose it moves with constant acceleration for 3.10 s. (a) Find the position of the particle after this time. (b) Find

A particle moves along the x axis. It is initially at the position 0.350 m, moving with velocity 0.110 m/s and acceleration 0.380 m/s2. Suppose it moves with constant acceleration for 3.50 s. (a) Find the position of the particle after this time. (b) Find

A particle leaves the origin with a velocity of 7.2 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (3.0 – 2.0 ˆi ˆj ) m/s2. At the instant the particle moves back across the x axis (y = 0), what is the value

Our teacher want us to use integrate and use the dot method to solve for this question but I don't know how. Can any turor help me.A particle moves in the xy plane (see the figure below) from the origin to a point having coordinates x = 7m and y = 5m under

a particle moves along the xaxis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle

A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 6.0 m, y = 3.0 m, and has velocity v = 4.0 m/s + 1.0 m/s . The acceleration is given by the vector a = 4.0 m/s2 + 0 m/s2 . (a) Find the velocity vector at t

Please help. A particle moves in a stright line and its acceleration is given by a(t)=6t+4. its initial position is s(0)=9 and its position when t=1 is s(1)=6. find the velocity of the particle when t=2. A. v(2)=14 B. v(2)=7 C. v(2)=4 D. v(2)=9 E. v(2)=0

a particle moves along xaxis so that its position at any t>=0 is given by x=arctant. What is the limiting position of the particle as t approaches infinity?

For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5t)5 . a. when id the particle at rest ? when is particle moving forward ? b. Find the total distance traveled by the particle in intervals [0,1]


For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5t)5 . a. when id the particle at rest ? when is particle moving forward ? b. Find the total distance traveled by the particle in intervals [0,1]

How would I solve this: A particle moves along a line so that, at time t, its position is s(t)=8 sin2t. a) For what values of t does the particle change direction? b) What is the particle's maximum velocity?

A particle moves along the caxis so that at time t its position is given by x(t)=t^26^t+9t+11 a)What is the velocity of the particle at t=0 b)During what time intervals is the particle moving to the left? c)What is the total distance traveled by the

3. At t = 0 , a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with constant accelaration of ( 2.0i  4.0j ) m/s2 . At the instant the x coordinate of the particle is 15 m , what is the speed of

A particle (mass = 5.0 g, charge = 40 mC) moves in a region of space where the electric field is uniform and is given by Ex = 5.5 N/C, Ey = Ez = 0. If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and vx = 50 m/s, vy = vz =

Cn u plz gv explaination 2 d solutions steps by steps briefly? Cz i really dnt understand hw 2 apply d formula wen i revise it nw. [g=10 ms^2 ] Two particles P & Q, of masses 0.2 kg & m kg respectively, are attached to the ends of a light inextensible

Please help. If you need the figure, let know how I can show you and I will do it. A particle moves in the xy plane (see the figure below) from the origin to a point having coordinates x = 7.00 m and y = 4.00 m under the influence of a force given by F =

A moving particle encounters an external electric field that decreases its kinetic energy from 9100 eV to 6630 eV as the particle moves from position A to position B. The electric potential at A is 59.5 V, and the electric potential at B is +26.1 V.

A particle of mass m moves in a xy plane. the coordinates of the particle at any instant are given by x=acos(wt) & y=bsin(wt) where a,b,w are constsnt.Determine the angular momentum of the particle with .r.to the origin of the coordinate system

A moving particle encounters an external electric field that decreases its kinetic energy from 10360 eV to 7680 eV as the particle moves from position A to position B. The electric potential at A is 52.5 V, and the electric potential at B is +29.7 V.


A moving particle encounters an external electric field that decreases its kinetic energy from 9100 eV to 6630 eV as the particle moves from position A to position B. The electric potential at A is 59.5 V, and the electric potential at B is +26.1 V.

A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function

A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function

Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t, between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle

a particle of mass m moves in a xy plane. The coordinates of the particle at any instant are given by x = acos(wt) and y = bsin(wt). where a,b,w, are constant. Determine the angular momentum of the particle with respect to the origin of the coordinate

Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not change. C. A particle

A particle of mass m moves in a xy plane. the coordinates of the particle at any instant are given by x=acos(wt) y = bsin(wt). where a,b,w, are constants. determine angular momentum ofthe particle with respect to the origin of the coordinate system.

A particle moves on a line away from its initial position so that after t hours it is s = 6t^2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.

A particle moves on a line away from its initial position so that after t hours it is s = 4t^2 + t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.

A particle, initially at rest, moves along the xaxis such that its acceleration at time t>0 is given by a(t)=cos(t). At the time t=0, its position is x=3. How do I find the position function for the particle? I tried integrating the equation but got


A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.

A particle moves on a vertical line. Its position, s, in metres at t seconds is given by s(t) = t^3  9t^2 + 24t, t>0/ I found the velocity and acceleration functions. s'(t) = 3t^2  18t + 24 s''(t) = 6t18 b) When is the particle moving up? down? c) Find

The position of a particle moves along the equation X = Vo/K (1  e^(KT)) Vo and K are constants a)determine the total distance that the particle moves b) Show that the aceleration is derived from the velocity c) Reason how it could take an infinite

A force Fx acts on a particle. The force is related to the position of the particle by the formula Fx = (5.9 N/m3) x3. Find the work done by this force on the particle as the particle moves from x = 0.9 m to x = 22 m. Answer in units of J

Consider a particle moving along the xaxis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the xaxis at a velocity of v(t) = 5/√t, t > 0. At time t = 1, its position is

1) A particle is moving along the xaxis so that its position at t ≥ 0 is given by s(t) = (t)In(2t). Find the acceleration of the particle when the velocity is first zero. 2) The driver of a car traveling at 50 ft/sec suddenly applies the brakes. The

A particle of mass 45 kg moves in a straight line such that the force (in Newtons) acting on it at time t (in seconds) is given by 225t^490 t^2225. If at time t = 0 its velocity, v , is given by v ( 0 ) = 2, and its position x (in m) is given by x ( 0 )

5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5? Why? b. Find the acceleration of the particle at time t= 1.5. Is the velocity of the

A particle of mass 40 40kg moves in a straight line such that the force (in newtons) acting on it at time,t (in seconds) is given by, 160t^4320t^2360 at time t=0, v is given by v(0)=10, and its position x is given by x(0)=14. What is the position of the

The Question: A particle moves along the Xaxis so that at time t > or equal to 0 its position is given by x(t) = cos(√t). What is the velocity of the particle at the first instance the particle is at the origin? So far I was able to determine that the


A particle moves along a curve so that its position at time t is given by the position vector . What is the particle's speed at time t = 1? I think it is 12.

a particle moves in a straight line such that its position x from a fixed point 0 at time 't' is given by x= 5 + 8sin2t + 6cos2t 1. Find the period and amplitude of the particle. 2. Find the greatest speed of the particle. Thanks

A particle moves on the xaxis with an acceleration, 246msta. Find the position and velocity of the particle at 3t, if the particle is at origin and has a velocity of 10ms when 0t by using either the method of undetermined

Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not change. C. A particle

Having trouble with this questions. Please help. A particle moves on the xaxis so that its position at any time t (is greater than or equal to) 0 is given by x(t) = 2te^t a) Find the acceleration of the particle at t=0 b)find the velocity of the particle

Each crate moves from position 1, to position 2 to position 3. All of the crates are identical. the coordinate values given are in meters. Rank A through F in order from least to greatest, on the basis of the displacement from the position 1. If any crates

a Particle in xy plane with const acceleration of 1.5m/s sq. in the direction making an angle 37degree with x_axis. At t=0 the particle is at origin and its velocity is 8m/s along x axis.Find the velocity and the position of the particle at t=4sec.

A particle moves along a horizontal line such that its position s(t) = (t^2e^3t/3)for time t. Find when the particle is at rest.

A particle moves along a straight line such that its position is defined by s = (t3 – 3 t2 + 2 ) m. Determine the velocity of the particle when t = 4 s.

A particle moves along the saxis. Use the given information to find the position of the particle. v(t)=8t3 ; s(0) = 5.


A particle moves along the saxis. Use the given information to find the position of the particle. v(t) = 8t3; s(0) = 5.

a particle moves in a straight line such that its position x from a fixed point 0 at time 't' is given by x= 5 + 8sin2t + 6cos2t 1. Find the period and amplitude of the particle. 2. Find the greatest speed of the particle. Could you please explain the

a particle moves on the xaxis in such a way that its position at time t is given by x(t)=3t^525^3+60t. for what values of t is the particle moving to the left. a.2

A particle moves along a line so that at any time t its position is given by x(t)=2(pi)t+cos(2(pi)t). Determine the particle's maximum velocity.

A particle moves along a line so that at time t, where 0

A particle is released from rest at a point P on an inclined plane. The inclination of the plane is tan"1 (4/3) to the horizontal. If the coefficient of friction between the particle and the plane is 1/3, find i) the speed of the particle when it passes Q,

A particle moves along the xaxis and its position for time t is greater than or equal to 0, is s (t)=cos(2t)+sec(t). When t=pi, the acceleration of the particle is

The position of a particle as it moves along the x axis is given by x = 15eƒ{2t m, where t is in s. What is the acceleration of the particle at t = 1.0 s? 4.

A particle moves along the xaxis with the velocity given by v(t)=3t/(1+t^2) for t >or equal to 0. When t=0, the particle is at the point (4,0). 1. Determine the maximum velocity for the particle. Justify your answer. 2. Determine the position of the

A particle moves on the xaxis with an acceleration, a=(6t4)ms⁻1. Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of when t=0


A particle moves on the xaxis with an acceleration, a=(6t4)m/s2. Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of 10 m/s ms when t=0.

A particle moves on the x –axis so that its position at any time is given by x(t) = 2t3 + 1. a. Find the acceleration of the particle at t = 0. b. Find the velocity of the particle when its acceleration is 0. c. Find the total distance traveled by the

A particle moves on the x –axis so that its position at any time is given by x(t) = 2t3 + 1. a. Find the acceleration of the particle at t = 0. b. Find the velocity of the particle when its acceleration is 0. c. Find the total distance traveled by the

which of collowing situations describe a particle that might have a nonzero velocity? canbe more than one A) a particle that has a constant position as a function of time B) a particle that has its position changing as a fnction of time c)when you graph

which of collowing situations describe a particle that might have a nonzero velocity? canbe more than one A) a particle that has a constant position as a function of time B) a particle that has its position changing as a fnction of time c)when you graph

The vector position of a 3.00 g particle moving in the xy plane varies in time according to the following equation. r1 = At the same time, the vector position of a 5.85 g particle varies according to the following equation. r2 = For each equation, t is in

A particle moves along the xaxis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t1)(t3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the particle 2. find the

A particle moves along the xaxis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t1)(t3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the particle 2. find the

At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration >a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the x component of velocity as a function of time t. Determine the y component of

A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer. I started by taking the


F=6kt This force acts on a particle of mass "m" that moves along a line. If the particle starts from rest, determine its velocity and position at time t.

A particle starts from xi = 10 m at t0 = 0 and moves with the velocity graph shown in the graph below. Sorry for no graph it's at 12 m/s when time is zero. Moves down consistently so that it is 8 at 1 4 at 2 0 at 3 and negative 2 at 4. (a) What is the

The position vector of a particle of mass m = 2kg in the xy plane is given: r = (t2)i + (2t +1)j (meter) where t is in seconds . Find the torque exerted on the particle about the origin.

Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not change. C. A particle

A particle initially at the origin travels in uniform motion with velocity v=2ij2k. Find position venctor vector r(t) of a particle at time t. Find equatio for the plane passing through the origin and perp. to the tragectory of the particle. And find

A particle moves on a line away from its initial position so that after t hours it is s=3t^2+t miles from its original position.

A particle starts at the point (5,0) at t=0 and moves along the xaxis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine the position of the

4. A particle starts at the point (5, 0) at t = 0 and moves along the xaxis in such a way that at time t > 0 the velocity is given by v(t)=t/(1+t^2) a. Determine the maximum velocity attained by the particle. Justify your answer. b. Determine the position

A particle moves along a line where the potential energy of its system depends on its position r as graphed in Figure P8.46. In the limit as r increases without bound, U(r) approaches +1 J. (a) Identify each equilibrium position for this particle. Indicate

A particle moves in the xyplane, starting from the origin at t = 0 with an initial velocity v0 = (20ˆi – 15ˆj) m/s and a constant acceleration of a = 4.0ˆi m/s2. Determine the particle’s speed and direction at t = 5.0 s.


A particle moves along the xaxis from an initial position xi to a final position xf. Of the following values of xi and xf, which results in a negative displacement? (a) xi = 6 m, xf = 4 m (b) xi = ?4 m, xf = ?2 m (c) xi = ?4 m, xf = 2 m (d) xi = 4 m, xf =

a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t1)^3)(2t3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity of the particle negative? c.

A particle moves along the x axis. Its position is given by the equation x = 2.00 + 3.20t  3.85 t2 with x in meters and t in seconds. Determine its position at the instant it changes direction. (in m)

If a particle moves in the xyplane so that at time t>0 its position vector is (e^(t²), e^(t³)), then its velocity vector at time t=3 is...? Thanks so much!

The velocityversustime graph is shown for a particle moving along the xaxis. Its initial position is x0 = 1.8m at t0 =0s. Part A What is the particle's position at t=1.0s? Part B What is the particle's acceleration at t= 1.0s? Part C What is the