# A 2.0 particle moving along the x-axis experiences the force shown in the figure . The particle\&#39;s velocity is 4.7 at

59,637 results, page 3

### General Physics

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

### math

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin ¦Ðt + 3 cos ¦Ðt, where t is measured in seconds. (a)Find the average velocity during each time period. (i) [1, 2] (ii) [1, 1.1] (iii) [1...

### PHYSÝCS

please any on help me for this question ý need urgently. The position of a particle moving along the x-axis is given by x = 3.49t2 – 2.21t3, where x is in meters and t is in seconds. What is the position of the particle when it achieves its maximum speed in the positive x-...

### math

the velocity in m/sec of a particle moving along the x-axis is given by the function v(t) = 7cos3t, 0 < t < pi/2 Find the particle's displacement for the given time interval Displacement is the ending point minus the starting point. Ending point is at t=PI/2

### AP Calculous

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 particle from t = 0 to ...

### calculous

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 particle from t = 0 to ...

### HS Calculus

Having trouble with this questions. Please help. A particle moves on the x-axis 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 when its ...

### Math

A particle is moving at some constant speed. Use the following information to answer the following questions. s(t)=100/t©÷+12; t¡Ã0; see represents feet and t represents seconds a)Find the velocity and acceleration equations for this particle. b)When is this particle at ...

### PHYSÝCS please help

The position of a particle moving along the x-axis is given by x = 3.49t2 – 2.21t3, where x is in meters and t is in seconds. What is the position of the particle when it achieves its maximum speed in the positive x-direction? ý need only final answers...

### Calc I

A particle moves at varying velocity along a line and s= f(t) represents the particle's distance from a point as a function of time, t. sketch a graph for f if the average velocity of the particle between t=2 and t=6 is the same as the instantaneous velocity at t=5. I know ...

### physics

A particle moves along a straight path through displacement i = (2.2 m) + c while force = (3.2 N) - (3.8 N) acts on it. (Other forces also act on the particle.) What is the value of c if the work done by on the particle is (a) zero, (b) 3.2 J, and (c) -7.3 J?

### Physical Science

The frequency of circular motion for a charged particle moving around in the presence of a uniform magnetic field does not depend on ... a)The radius of the circle b)The mass of the particle c)The charge of the particle d)The magnitude of the magnetic field e)Actually, it ...

### physics

There is a 0.225 T magnetic field directed along the +x axis and a field of unknown magnitude along the +y axis. A particle carrying a charge of 7.20 10-5 C experiences a maximum force of 0.455 N when traveling at a speed of 2 104 m/s through the region where the fields are. ...

### ap calc

a particle moves along the x-axis so that its velocity at any time t is equal to or > 0 is given by v(t)= (2pie-5)t-sin(piet) a.find the acceleration at any time t. b.find the minimum acceleration of the particle over the interval [0,3] c.find the maximum velocity of the ...

### ap calc

a particle moves along the x-axis so that its velocity at any time t is equal to or > 0 is given by v(t)= (2pie-5)t-sin(piet) a.find the acceleration at any time t. b.find the minimum acceleration of the particle over the interval [0,3] c.find the maximum velocity of the ...

### calculus

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 when t =4 seconds...

### Calculus, Related Rates

A particle at point A is 50 mm away from a second particle at point B. The first particle is moving toward point B at a constant rate and the second particle is moving at a right angle to the line AB at a rate that is 1/3 of the rate of the first particle. The particles get ...

### Calculus III

A particle is moving in R2 according to the law x=t^2, y=t^3 (time is measured in seconds, coordinates in meters). (a) What is the average velocity of the particle over the time interval [1,1.1]? (b) What is the instantaneous velocity of the particle at time t=1?

### Calculus

A particle moves at varying velocity along a line and s=f(t) represents the particle's distance from a point as a function of time, t. Sketch a possible graph for f if the average velocity of the particle between t=2 and t=6 is the same as the instantaneous velocity at t=5. I'...

### physics (non-calc)

A particle of charge 2.5x10(^-6)C is moving at 1000 m/sec in a direction 30 degrees North of east. At the location of the particle the magnetic field has size 0.2 T. The particle is experiencing an instantaneous magnetic force (due to this sheild) of 1.71x10(^-4) newtons ...

### College Physics

four particles are fixed along an x axis, separated by distances d = 2.70 cm. The charges are q1 = +3e, q2 = -e, q3 = +e, and q4 = +6e, with e = 1.60 × 10-19 C. What is the value of the net electrostatic force on (a) particle 1 and (b) particle 2 due to the other particles?

### Physics

A particle of mass 100 gm is thrown vertically upwards with a velocity of 7 m/s. Air resistance is also acting on the particle according to the equation F = -0.2v^2. ( F = Force, v = velocity of the particle ). Find how much high the ball rises. Please answer it. Thanks in ...

### calculus

A particle is moving along the curve y=4((3x+1)^.5). As the particle passes through the point (5,16) its -coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus

A particle is moving along the curve . As the particle passes through the point , its -coordinate increases at a rate of units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus

A particle is moving along the curve . As the particle passes through the point , its -coordinate increases at a rate of units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus

A particle is moving along the curve . As the particle passes through the point , its -coordinate increases at a rate of units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### physics-help

In the figure below, four particles are fixed along an x axis, separated by distances d = 4.00 cm. The charges are q1 = +2e, q2 = -e, q3 = +e, and q4 = +5e, with e = 1.60 × 10-19 C. What is the value of the net electrostatic force on (a) particle 1 and (b) particle 2 due to ...

### Calculus

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) = 6t-18 b) When is the particle moving up? down? c) Find the distance the ...

### math

The acceleration, ams^-2, of a particle is given by a =25 – 9t^2, where t is in seconds after the particle passes fixed point O. If the particle passes O, with velocity of 4 ms^-1, find (a) An expression for velocity V, in terms of t (b) The velocity of the particle when t = 2

### physic

two particles moving along x-axis in the same direction with uniform velocity is 8 metre per second and 4 metre per second initially the first particle is 21 m to the left of the origin and the second one is 7 m to the right of the origin to particle meets from the origin at a...

### physics

One dimension. In Fig. 13-32, two point particles are fixed on an x axis separated by distance d. Particle A has mass mA and particle B has mass 4.00 mA. A third particle C, of mass 80.0 mA, is to be placed on the x axis and near particles A and B. In terms of distance d, at ...

### physics

One dimension. In Fig. 13-32, two point particles are fixed on an x axis separated by distance d. Particle A has mass mA and particle B has mass 4.00 mA. A third particle C, of mass 80.0 mA, is to be placed on the x axis and near particles A and B. In terms of distance d, at ...

### Calc

A particle is moving along the curve y= 3 \sqrt{3 x + 4}. As the particle passes through the point (4, 12), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### calculus

A particle is moving along the curve y= 3sqrt3x+1. As the particle passes through the point (5,12), its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus 1

A particle is moving along the curve y= 4 \sqrt{3 x + 1}. As the particle passes through the point (1, 8), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus

A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus

A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calculus

A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### DIFF. CALCULUS

A particle is moving along the parabola 4y = (x + 2)^2 in such a way that its x-coordinate is increasing at a constant rate of 2 units per second. How fast is the particle's distance to the point (-2, 0) changing at the moment that the particle is at the point (2, 4)?

### calculus

A particle is moving along the curve y=5sqrt(3x+1). As the particle passes through the point (5,20) its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Maths

A particle is moving along the curve y=4sqrt(4x+1) . As the particle passes through the point (2,12), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant. Thanks !!!

### Calculus HELP

A particle is moving along the curve y=5 sqrt (2x+6). As the particle passes through the point (5,20 , its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Calc

A particle is moving along the curve y= 4 sqrt{2 x + 2}. As the particle passes through the point (1, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Math

A particle is moving along the curve y= 2 \sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

### Science

The position of particle moving along x axis is given as a function of time t as x=t^2-4t+7.the distance covered by the particle in first four second is(x is in metre and t is in second). Plzz answer fastly..plzz

### math

For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5-t)-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] seconds and [1,2] seconds...

### math

For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5-t)-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] seconds and [1,2] seconds...

### Dynamics

The acceleration of a particle which moves along the x axis is given by a=4x+5x^(3/2) The particle has speed of 2m/s when x=1m x is in meters a is in m/s^2 evaluate the velocity when x = 8m I know that I need to use kinematic eqn 3 adr = vdv then take the integral but I'm not ...

### physics

The acceleration of a particle which moves along the x axis is given by a=4x+5x^(3/2) The particle has speed of 2m/s when x=1m x is in meters a is in m/s^2 evaluate the velocity when x = 8m I know that I need to use kinematic eqn 3 adr = vdv then take the integral but I'm not ...

### Physics HELP

1.If a particle moves in a plane so that its position is described by the functions x=A*cos(wT) and y=A*sin(wT), the particle is ( w-angular velocity, T-period) A) moving with constant speed along a circle B) moving with a varying speed along a circle Thanx! Note that x^2 + y^...

### physics help!

The equation of motion of a particle in vertical SHM is given by y = (17 cm) sin 0.70t. (a) What is the particle's displacement at t = 1.1 s? (b) What is the particle's velocity at t = 1.1 s?(c) What is the particle's acceleration at t = 1.1 s?

### physics

The equation of motion of a particle in vertical SHM is given by y = (10 cm) sin 0.80t. (a) What is the particle's displacement at t = 1.1 s? (b) What is the particle's velocity at t = 1.1 s? (c) What is the particle's acceleration at t = 1.1 s?

### Calculus Please Check my answer

the velocity of a particle moving along the x axis is v(t)=t^2+2t+1, with t measured in minutes and v(t) measured in feet per minute to the nearest foot find the total distance traveled by the particle from t=0 to t=2 minutes so, I took the integral of the equation so from 0 ...

### physics

Two particles are fixed on an x axis. Particle 1 of charge 47.9 μC is located at x = -5.87 cm; particle 2 of charge Q is located at x = 32.3 cm. Particle 3 of charge magnitude 52.8 μC is released from rest on the y axis at y = 15.1 cm. What is the value of Q if the ...

### physics

The velocity v(t) of some particle is plotted as a function of time on the graph below. The scale on the horizontal axis is 1 s per division and on the vertical axis 9 m/s per division. Initially, the particle is at x0 = 52 m. What is the position x of the particle at time t...

### calculus

let f(t) = 2*pi*t + sin(2*pi*t) a) find value of t in open interval (0,2) for which the tangent line at (t, f(t)) is parallel to the line through (0,0( and (2, 4pi) b) suppose the given funtion describes the position of a particle on the x-axis for 0<= t <= 2. What is ...

### science

the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.

### Physics

A particle moved along the x axis with a constant acceleration of -85.0 meters per second squared. The initial position of the particle was at the origin and its initial velocity was +325 meters per second. Find the position of the particle at T=4.0 seconds. Please walk ...

### physics

A particle leaves the origin with an initial velocity v=(2.40 m/s)x hat and moves with a constant acceleration a=(-1.90 m/s ^2)x hat+(3.20 m/s ^2)y hat. How far does the particle move in the x direction before turning around? Answer is 1.48 m. What is the particle's velocity ...

### phys urgent!

A particle leaves the origin with a speed of 2.4 times 10^6 m/s at 38 degrees to the positive x axis. It moves in a uniform electric field directed along positive y axis. Find Ey such that the particle will cross the x axis at x = 1.5 cm if the particle is an electron. I don't...

### physics

An alpha particle, the nucleus of a helium atom, is at rest at the origin of a Cartesian coordinate system. A proton is moving with a velocity of v towards the alpha particle from the positive x axis direction. If the proton is initially far enough away to have no potential ...

### Physics

The three forces shown in the figure below act on a particle (with F1 = 50.0 N, F2 = 60.0 N, θ1 = 60.0°, and θ2 = 30.0°). If the particle is in translational equilibrium, find F3, the magnitude of force 3 and the angle θ3.

### physics

A particle with a charge 7C and a mass of 20kg is traveling in a circular path around a fixed particle of charde -5C. The velocity is observed to be 3000m/sec. A 9C particle with the same velocity is instead in the presence of a uniform electric field of 250N/C as shown. What ...

### Math

A particle moves with a velocity of v(t)=3cos(2t) m/s along an axis. Find the distance traveled by the particle over the time interval 0 is less than or equal to "t", which is less than or equal to (pi/8)

### help with physics please!

2.50 kg particle (the function U(x) has the form bx2 and the vertical axis scale is set by Us = 2.0 J).(a) If the particle passes through the equilibrium position with a velocity of 55.0 cm/s, will it be turned back before it reaches x = 18.0 cm?(b) If yes, at what position (...

### science

a particle 100g attach with a horizontal spring moving s.h.m.with amplitude 5cm .when this particle is passes through mid point a small particle placed on it then both moving s.h.m.with amplitude 4cm.find the mass of small particle .

### Physics

A permanent magnet creates a homogenous magnetic field B~ inside a rectangular region. The magnet is moving with a velocity ~v ⊥ B~ . A particle at rest with mass m and charge Q is on the path of the magnet. Assume that the magnet has a mass much larger than the particle...

### physics

A particle is projected vertically upwards with velocity of u.after t seconds particle is projected from some point with same velocity.How long does it take for the second particle to meet the first particle?

### AP CaLC. AB

A particle moves along the x-axis with the velocity at time t=>0 given by v(t)=t^2-3 cos(t). If the particle is at the origin when t=0, its position at the time when v=0, x=?? a. 5.276 b. 334.965 c. 15.276 d. 6.682 e. 2.670

### calc

A particle moves along the x-axis with velocity v(t) = t^2 − 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = 2 seconds.

### Electromagnetism

A particle with a mass of 6.64x10^-27 kg and a charge of +3.2x10^-19 C is accelerated from rest through a potential difference of 2.45x10^6 V. the particle then enters a uniform magnetic field of strength 1.60 T. a) Find the particle's gain in KE as it moves through the ...

### physics

Particle 1 with a momentum of 126.2 kg·m/s along the x axis, strikes particle 2, which is initially motionless. After the collision, particle 1 has an x component of momentum, p1x = 82.0 kg·m/s and a y component, p1y = 46.8 kg·m/s. What are p2x and p2y, the x and y momentum...

### Calculus

Two particles move along the x -axis. For 0 is less than or equal to t is less than or equal to 6, the position of particle P at time t is given by p(t)=2cos((pi/4)t), while the position of particle R at time t is given by r(t)=t^3 -6t^2 +9t+3. 1. For 0 is less than or equal ...

### Calculus

Two particles move along the x -axis. For 0 is less than or equal to t is less than or equal to 6, the position of particle P at time t is given by p(t)=2cos((pi/4)t), while the position of particle R at time t is given by r(t)=t^3 -6t^2 +9t+3. 1. For 0 is less than or equal ...

### physics

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.

### Calculus

An ant moves along the x-axis with velocity given by v(t)=tsin(t^2), t is greater than or equal to zero. Given that x(t) is the position of the particle at time t and that x(0)=3, find x(2) Find the total distance traveled by the particle from t=0 to t=2

### physics

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 this time? ( m/s...

### Physics

potential energy well for a 2.0 kg particle (the function U(x) has the form bx2 and the vertical axis scale is set by us = 2.0 J). (a) If the particle passes through the equilibrium position with a velocity of 85 cm/s, will it be turned back before it reaches x = 15 cm? (b) If...

### physics

A 10 g particle has the potential energy shown in a graph with the y-axis label U(J) and the x axis is labeled in cm. There is a diagonal line from 4 J down to 1 cm and the line levels out on the x axis to 3 cm and rises again to a height of 2 J at 5 cm and levels out to 7 cm ...

### univercity of baghdad

A particle travels along a straight line with a velocity v=(12-3t^2)m/s.where t is in the seconds. When t=1s.the particle is located 10m to the left of the origin. Determine the acceleration when t=4s.the displacement from t=0s to t=10s.and the distance the particle travels ...

### Physics

A charged particle A exerts a force of 2.39 ìN to the right on charged particle B when the particles are 13.3 mm apart. Particle B moves straight away from A to make the distance between them 16.1 mm. What vector force does particle B then exert on A?

### math

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

### Physics - please help!

Particles 1 and 2 of charge q1 = q2 = +3.20 x 10-19 C are on a y axis at distance d = 22.0 cm from the origin. Particle 3 of charge q3 = +9.60 x 10-19 C is moved gradually along the x axis from x = 0 to x = +5.0 m. At what value of x will the magnitude of the electrostatic ...

### Phyiscs - Electro static

Particles 1 and 2 of charge q1 = q2 = +3.20 x 10-19 C are on a y axis at distance d = 22.0 cm from the origin. Particle 3 of charge q3 = +9.60 x 10-19 C is moved gradually along the x axis from x = 0 to x = +5.0 m. At what value of x will the magnitude of the electrostatic ...

### Calculus

Starting at t=0, a particle moves along the x-axis so that its position at time t is given by x(t)=t^4-5t^2+2t. What are all values of t for which the particle is moving to the left? (A)0<t<0.913 (B)0.203<t<1.470 (C)0.414<t<0.913 (D)0.414<t<2.000 (E)...

### Calculus

Solve: The posistion of a particle moving along a coordinate line is s=sqrt(5+4t), with s in meters and t in seconds. Find the particle's velocity at t=1 sec. A) 2/3 m/sec B) 4/3 m/sec C) -1/3 m/sec D) 1/6 m/sec Thank you!

### Physics- Mechaincs

A particle has r(0)= (4m)j and v(0)= 92 m/s)i If tts acceleration is constant and given by a=-(2 m/s^2)(i+j), at what time t does the particle first cross the x axis? t=2 s, thanks Damon Also, at what time t is the partilce moving parallel to the y axis; that is the j direction?

### Calc - Please help

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

### Ap calc

A particle moves along the X axis with the acceleration a(t)=12t-6. If v(0)=3, find the total distance the particle traveled from t=0 to t=2. Please help

### Calculus

A particle moves along the x-axis 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

### D.E

A particle moves on the x-axis with an acceleration, 246msta. Find the position and velocity of the particle at 3t, if the particle is at origin and has a velocity of 10ms when 0t by using either the method of ...

### PHYSICS PLEASE HELP ME

A particle with an initial linear momentum of 3.44 kg · m/s directed along the positive x-axis collides with a second particle, which has an initial linear momentum of 6.88 kg · m/s, directed along the positive y-axis. The final momentum of the first particle is 5.16 kg · m...

### physics

shows a plot of potential energy U versus position x of a 0.310 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 9 J, UC = 20 J and UD = 24 J. The particle is released at the point where U forms a...

### physics

Two particles with masses m and 3m are moving toward each other along the x axis with the same initial speeds Vi. Particle m is traveling to the left, and the particle 3m is traveling to the right. They undergo an elastic glancing collision such that particles m is moving in ...

### physics

two force vectors, f1 18N at 60 degree above the positive axis and F2 6.5N at 45 degree below the positive axis, are applied to a particle at the origin. what third force f3 would make the net force on the particle equal to zero

### Physics

A particle has ⃗r(0) = (4 m)j and ⃗v(0) = (2 m/s)i. If its acceleration is constant and given by ⃗a = −(2 m/s2) (i +j), at what time t does the particle first cross the x axis? Answer in units of s. part 2. At what time t is the particle moving parallel...

### physics

Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A has mass mA = 4 g, particle B has mass 2.00mA, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed near the other three particles. What (a) x ...

### physics

A particle has ⃗r(0) = (4 m)j and ⃗v(0) = (2 m/s)i. If its acceleration is constant and given by ⃗a = −(2 m/s2) (i +j), at what time t does the particle first cross the x axis? Answer in units of s. part 2. At what time t is the particle moving parallel...

### math

A particle moves along the path y=x^3+3x+1 where units are in centimetres.If the horizontal velocity Vx is constant at 2cm/s,find the magnitude and direction of the velocity of the particle at the point (1,5).

### physics

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 its velocity at the ...