# A particle with an initial linear momentum of 2.28 kg · m/s directed along the positive x-axis collides with a second particle, which has an initial linear momentum of 4.56 kg · m/s, directed along the positive y-axis. The final

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### 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

A particle with an initial linear momentum of 2.28 kg · m/s directed along the positive x-axis collides with a second particle, which has an initial linear momentum of 4.56 kg · m/s, directed along the positive y-axis. The final momentum of the first particle is 3.42 kg · m...

### Physics

A particle of mass m1 = 2.5 kg moving along the x axis collides with a particle of mass m2 = 4.9 kg initially at rest. The incoming particle is deflected in the direction 22 degrees above the x axis, whereas the target particle moves off at 15 m/s at 37 degrees below the x ...

### 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...

### physics emergerncyy!

A particle of mass m1 = 2.5 kg moving along the x axis collides with a particle of mass m2 = 4.7 kg initially at rest. The incoming particle is deflected in the direction 24 degrees above the x axis, whereas the target particle moves off at 14 m/s at 39 degrees below the x ...

### Physics

A particle of mass m kinetic energy K momentum p collides head on elastically with another particle of mass 2m at rest A) Momentum of first particle ? B) momentum of second particle? C) kinetic energy of first particle? D) kinetic energy of second particle?

### physics

A PARTICLE OF MASS M IS SHOT WITH an initial velocity v making an angle b with the horizontal,the particle moves in the gravitational field of the earth. find the angular momentum of the particle about the origin when the particle is at the origin ,at the highest point of its ...

### Physics - drwls?

A 2000 kg truck traveling north at 38 km/hr turns east and accelerates to 55 km/hr. What is the change in the truck's kinetic energy? What is the magnitude of the change in the linear momentum of the truck? What is the direction of the change in linear momentum of the truck? (...

### science

A particle leaves the origin with a speed of 2.4 times 106 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.

### physics

12. Which of the following statements is correct for a particle moving in a horizontal circle with constant angular velocity? A. The linear momentum is constant but the kinetic energy varies. B. The kinetic energy is constant but the linear momentum varies. C. Both kinetic ...

### 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

The velocity graph of a particle moving along the x-axis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =6.22m, the maximum velocity of the particle is...

### physics

In the figure, particle A moves along the line y = 29 m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration of magnitude 0.44 m/s2...

### Physics

In the figure, particle A moves along the line y = 26 m with a constant velocity of magnitude 2.6 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration of magnitude 0.31 m/s2...

### physics- MC QUESTION!

Question: A particle is initially traveling to the right when it hits a wall and turns around to the left. The momentum after the collision is less than the initial momentum. a-the impulse on the particle is to the right b-the impulse on the particle is to the left c-there is ...

### Physics

Two particles are fixed on an x axis. Particle 1 of charge 70.5 μC is located at x = -28.5 cm; particle 2 of charge Q is located at x = 21.2 cm. Particle 3 of charge magnitude 37.4 μC is released from rest on the y axis at y = 28.5 cm. What is the value of Q if the initial ...

### physics

A 5.00 kg particle moving along the x-axis at an initial velocity of 4.5 m/s. what is the initial kinetic energy of the particle?

### Physics

A charged particle is moving downward with an initial speed of 5 × 106m/s when it encounters a uniform magnetic field that points east to west. (a) If the initial force on the particle is to the north, is the particle positive or negative? (b) If B = .25 T and the particle ...

### physics # 2

2. A particle of mass m and speed v collides at right angles with a very massive wall in a perfectly elastic collision. The magnitude of the change of momentum of the particle is a.) zero b.) mv/2 c.) mv d.) ã (2) mv e.) 2mv Hint: the final momentum is equal in magnitude ...

### Linear Momentum in Rotational motion

It is known that for a mass (m) that moves with velocity (v) the linear momentum is (m)x(v). Now, assume we have a rod of mass (m) and radius (R) that rotates with constant angular velocity (w). Also, isolate only half of the cycle (rotation for 180 degrees). What is the ...

### Physics

I have two questions, both are about angular momentum so I thought I'd post them together. I'm really confused on anything regarding rolling wheels and things like that (help me please!. It seems as though the whole chapter was amassed of all of the topics I cant wrap my head ...

### 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...

### calculus

a particle moves along the x-axis (units in cm) its initial position at t=0 sec is x(0)=15. the figure shows the graph of the particle's velocity v(t). the numbers are areas of the enclosed regions. in the graph 0 to a is 4 under the x-axis, a to b is 5 above the x-axis, b to ...

### 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

particle A moves along the line y = 30m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with 0 initial speed and constant acceleration of magnitude 0.50 m/s2. What angle θ ...

### physics

A ball attached to the end of a string is whirled on a horizontal circle at constant speed. Consider the linear momentum, total energy, and kinetic energy of the ball throughout its motion. Which of the following statements is true? Both linear momentum and kinetic energy are ...

### physics helpppp

particle 1 of mass m1 = 0.29 kg slides rightward along an x axis on a frictionless floor with a speed of 1.8 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 0.40 kg. When particle 2 then reaches a wall at xw...

### Physics

A particle starts from the origin at t = 0 with an initial velocity of 8.0 m/s along the positive x axis. If the acceleration is (-3.7 + 2.5 ) m/s2, determine the velocity and position of the particle at the moment it reaches its maximum x coordinate.

### physics

A particle starts from the origin at t = 0 with an initial velocity of 5.4m/s along the positive x axis.If the acceleration is (-3.4 i + 4.9 j )m/s^2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x coordinate.

### physics

i need some help wih this, thanks!! Blocks A and B are moving toward each other along the x axis. A has a mass of 2.0 kg and a velocity of 50 m/s ( in the positive x direction ), while B has a mass of 4.0 kg and a velocity of -25 m/s ( in the negative x direction). They suffer...

### physics

A particle starts from the origin at t = 0 with an initial velocity of 5.5 m/s along the positive x axis.If the acceleration is (-2.8i + 4.1jm/s^2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x coordinate.

### Physics

A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 7.0 m/s. (a) What is the coordinate of the particle at t = 5.0 s? (b) What ...

### Physics - Torque

A particle is acted on by two torques about the origin: T1 has a magnitude of 4.3 N*m and is directed in the positive direction of the x axis, and T2 has a magnitude of 3.2 N*m and is directed in the negative direction of the y axis. What are the magnitude [in N*m] and ...

### Maths

A particle rotates in a circular orbit about a point located 30cm away, with angular speed 2 rad s^-1. If the angular momentum is 0.2 Js, determine the mass of the particle. I used L=mr^2 omega and got 1.11kg A constant torque of 0.2Nm accelerates the particle for 5s. ...

### Physics

A 1.1 kg particle-like object moves in a plane with velocity components Vx = 30 m/s and Vy = 90 m/s as it passes through the point with (x, y) coordinates of (3.0, -4.0) m. (a) What is its angular momentum relative to the origin at this moment? _____ kg*m^2/s k (b) What is its...

### Re: Physics

Posted by COFFEE on Friday, March 30, 2007 at 4:25am. A 1.1 kg particle-like object moves in a plane with velocity components Vx = 30 m/s and Vy = 90 m/s as it passes through the point with (x, y) coordinates of (3.0, -4.0) m. (a) What is its angular momentum relative to the ...

### physics

One particle has a mass of 3.38 x 10-3 kg and a charge of +7.76 ìC. A second particle has a mass of 8.46 x 10-3 kg and the same charge. The two particles are initially held in place and then released. The partcles fly apart, and when the separation between them is 0.159 m, ...

### physics-help please........

The momentum and the kinetic energy of particle A is eight times and nine times the momentum and the kinetic energy of particle B, respectively. What is the ratio of the mass of particle A to that of particle B?

### physics

The velocity-versus-time graph is shown for a particle moving along the x-axis. 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 particle's position at t= 3....

### physics

Two masses are involved in an elastic collision. The first has a mass of 0.150 kg and an initial velocity of 0.900 m/s directed at an angle of 50 degrees with the positive y-axis as shown below. The second mass, of 0.260 kg moves along the x-axis with an initial velocity of 0....

### Physics

A particle starts from the origin at t = 0 with an initial velocity of 4.8m/s along the positive x axis.If the acceleration is (-2.5 i^ + 4.3 j^)m/s2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x coordinate Express your ...

### university physics

An object at rest explodes into three fragments. The figure shows the momentum vectors of two of the fragments: vector P1 is directed along the px axis and has a magnitude of 74.0 kg m/s. vector P2 is at an angle of 300.° measured counterclockwise from the positive px axis ...

### Physics

At a point P, the electric field is 78 N/C at 51° counter-clockwise from the positive x axis. A particle of mass 4.7 kg and charge -0.11 C is located at P. Find: 1.the magnitude of the force on the particle 2.the direction of the force on the particle: degrees counter-...

### Physics

A particle is initially moving along the positive x-axis at a speed of 9.90 m/s. After 2.40 s, the particle is moving along the negative y-axis at a speed of 4.71 m/s. Find the x and y components of the particle's acceleration.

### chemistry

Calculate the linear momentum of photon of wavelength 750nm. What speed does an electron need to travel to have the same linear momentum.

### Physics

A uniform thin ring of charge, with radius 5.20 cm and total charge 6.60 ìC, is located in the yz-plane and centered on the origin. (In other words, the x-axis passes through the center of the ring, and is perpendicular to the ring.) A particle of mass 17.9 g and charge 4.80...

### physics

A particle of mass m and initial velocity v collides elastically with a particle of

### Physics

A particle moving along the x-axis has its velocity described by the function v =2t squared m/s, where t is in s. Its initial position is x = 2.8m at t = 0 s. At 2.7s , what is the particle's position?

### Physics - Torque

A particle is acted on by two torques about the origin: T1 has a magnitude of 4.3 N*m and is directed in the positive direction of the x axis, and T2 has a magnitude of 3.2 N*m and is directed in the negative direction of the y axis. What are the magnitude [in N*m] and ...

### College Physics

Two equally charged particles, held 2.8 x 10-3 m apart, are released from rest. The initial acceleration of the first particle is observed to be 6.8 m/s2 and that of the second to be 6.8 m/s2. If the mass of the first particle is 5.3 x 10-7 kg, what are (a) the mass of the ...

### modern physics - relativity

A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed by it . (A) what is the velocity of resulting composite particle ? (B) What is the mass of the resulting composite particle ? use conservasion of energy / momentum please show working

### special relativity

A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed by it. what is the velocity of the resulting composite particle ? what is the mass of the resulting composite particle? (use conservation of momentum and energy)

### Engineering Kinematic

The particle travels along the path defined by the parabola y=0.5(x^2). If the component of velocity along the x-axis is v=5t [m/s], determine the particle's distance from the origin and the magnitude of its acceleration when t=1s. The initial condition is t=0, x=0 and y=0. ...

### Physics

A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 30 degrees with the positive x axis. The second has a magnitude of 8.6 m and makes an angle of 149 degrees with the positive x axis. After the third displacement the particle ...

### Physics

A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 40 ◦ with the positive x axis. The second has a magnitude of 6.2 m and makes an angle of 158 ◦ with the positive x axis. After the third displacement the particle ...

### physics

An alpha particle collides with an oxygen nucleus, initially at rest. The alpha particle is scattered at an angle of 60.9° above its initial direction of motion, and the oxygen nucleus recoils at an angle of 51.9° on the opposite side of that initial direction. The final ...

### physics

An alpha particle collides with an oxygen nucleus, initially at rest. The alpha particle is scattered at an angle of 60.9° above its initial direction of motion, and the oxygen nucleus recoils at an angle of 51.9° on the opposite side of that initial direction. The final ...

### physics

The position of a particle moving along an x axis is given by x = 15t2 - 2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2 (b) What is the maximum positive coordinate ...

### Calculus

The position of a particle moving along the x-axis as a function of time,t, is given by x(t)=(1/6)t^3-t^2+3t-1 for t≥0. The particle's velocity becomes three times its initial velocity when t=? I know v(t)=x'(t)=(1/2)t^2-2t+3=9, but I do not understand where does the 9 come ...

### Physics

A particle of mass m is shot with an initial velocity vector v i and makes an angle θ with the horizontal, as shown below. The particle moves in the gravitational field of the Earth. (makes a shape of a parabola)Find the angular momentum of the particle about the origin ...

### physics

An alpha-particle collides with an oxygen nucleus which is initially at rest. The alpha-particle is scattered at an angle of 67.0 degrees from its initial direction of motion, and the oxygen nucleus recoils at an angle of 52.0 degrees on the other side of this initial ...

### Physics

A billiard ball of mass m = 0.250 kg hits the cushion of a billiard table at an angle of θ1 = 56.2° and a speed of v1 = 24.8 m/s. It bounces off at an angle of θ2 = 71.0° and a speed of v2 = 10.0 m/s. (a) What is the magnitude of the change in momentum of the ...

### Dyanamics

A particle of mass m moves in a x-y plane. the co-ordinates 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 co-ordinate system

### Math

A particle A of mass 2.11 kg collides with another particle B of mass 3.86 kg. Their initial velocities are u1 = 2.16i + 0.88j and u2 = 0.7i + 1.12j just before impact. After collision, they both merged and becomes a composite particle, which travel with a velocity of V. ...

### Physics

A ball with a mass of 0.50 kilograms is moving at a speed of 1.8 meters/second along the positive x-axis. It collides with another ball of the same mass travelling at a speed of 2.0 meters/second toward the positive y-axis. Both balls then start moving together. What is the ...

### physics help

particle 1 of mass m1 = 0.29 kg slides rightward along an x axis on a frictionless floor with a speed of 1.8 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 0.40 kg. When particle 2 then reaches a wall at xw...

### physics help

particle 1 of mass m1 = 0.29 kg slides rightward along an x axis on a frictionless floor with a speed of 1.8 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 0.40 kg. When particle 2 then reaches a wall at xw...

### physics

particle 1 of mass m1 = 0.29 kg slides rightward along an x axis on a frictionless floor with a speed of 1.8 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 0.40 kg. When particle 2 then reaches a wall at xw...

### physics

A 0.150 kg particle moves along an x axis according to x(t) = -13.00 + 2.00t + 3.50t2 - 2.50t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.45 s? I tried solving using s=Vit + (.5)at^2 but I can't find the ...

### Physics

A 0.150 kg particle moves along an x axis according to x(t) = -13.00 + 2.00t + 3.50t2 - 2.50t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.45 s? I tried solving using s=Vit + (.5)at^2 but I can't find the ...

### Physics

Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 12.0e. Particle 3 of charge q3 = +13.0e is initially on the x axis near particle 2. Then particle 3 is gradually moved in the positive direction ...

### Physics

Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 12.0e. Particle 3 of charge q3 = +13.0e is initially on the x axis near particle 2. Then particle 3 is gradually moved in the positive direction ...

### physics

a particle of mass m moves in a x-y 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 system.

### physics help!!!

particle 1 of mass m1 = 0.29 kg slides rightward along an x axis on a frictionless floor with a speed of 1.8 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 0.40 kg. When particle 2 then reaches a wall at xw...

### math

A particle is traveling along a one-dimensional 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) At what times is ...

### physics

Earth of mass 6×10^24 kg is in motion around the sun with a linear velocity of magnitude 30 km/s. a) Determine the magnitude of the linear momentum of the center of mass of Earth. b) Is this linear momentum conseved?

### Physics

A particle of mass m moves in a x-y 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.

### physic

The position function x(t) of a particle moving along an x axis is x = 6.00 - 8.00t2, with x in meters and t in seconds. (a) At what time and (b) where does the particle (momentarily) stop? At what (c) negative time and (d) positive time does the particle pass through the origin?

### physics

A 1.6 kg particle moving along the x-axis experiences the force shown in the figure. The particle's velocity is 4.2 m/s at x = 0 m. The figure or graph has F (N) along the y axis and velocity along the x axis. A diagonal line drops from positive 10 force to -10 force from 0 cm...

### Physics

The velocity graph of a particle moving along the x-axis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =9.35m, the maximum velocity of the particle is...

### Physics - drwls

Posted by winterWX on Monday, March 19, 2007 at 11:51pm. A 2600 kg truck traveling north at 38 km/hr turns east and accelerates to 55 km/hr. What is the change in the truck's kinetic energy? What is the magnitude of the change in the linear momentum of the truck? What is the ...

### physics

Consider a particle with initial velocity that has magnitude 12.0 m/s and is directed 60.0 degrees above the negative x axis.

### 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

The force on a particle is directed along an x axis and given by F = 1.7(x/2.8 - 0.95) where x is in meters and F is in Newtons. Find the work done by the force in moving the particle from x = 0 to x = 6.9 m.

### Physics2

A particle of mass 47 g and charge 54 C is released from rest when it is 13 cm from a second particle of charge −15 C. Determine the magnitude of the initial acceleration of the 47 g particle. Answer in units of m/s2

### Physics

A particle of mass 57 g and charge 70 µC is released from rest when it is 34 cm from a second particle of charge −12 µC. Determine the magnitude of the initial acceleration of the 57 g particle. Answer in units of m/s2.

### physics

The velocity graph of a particle moving along the x-axis is shown. The particle has zero velocity at t=0.00 s and reaches a maximum velocity, vmax, after a total elapsed time, ttotal. If the initial position of the particle is x0=7.28 m, the maximum velocity of the particle is...

### electrostatic physics

A particle of mass 47 g and charge 54 C is released from rest when it is 13 cm from a second particle of charge −15 C. Determine the magnitude of the initial acceleration of the 47 g particle. Answer in units of m/s2

### physics

can anyone help me in this question please A particle of mass 27 g and charge 32 µC is released from rest when it is 79 cm from a second particle of charge −22 µC. Determine the magnitude of the initial acceleration of the 27 g particle. Answer in units of m/s 2 .

### Science (physics)

A particle P is launched from a point O with an initial velocity of 60m/s at an angle of 30 degrees to the horizontal. At the same time, a second particle Q is projected in the opposite direction with initial speed of 50m/s from a point level with point O and 100m from O. You ...

### physics # 3

3. In a perfectly inelastic collision which of the following is conserved, (give the most accurate answer). a.) Linear momentum b.) Kinetic energy c.) Linear momentum d.) Total mechanical energy, (KE +PE) e.) Heat energy

### maths

a car weighing 1600kg moving with a velocity of 30 meter per second retarded uniformly coming to rest in 20 seconds calculate 1, initial momentum 2, final momentum 3, rate of change of momentum 4,acceleration of the car 5, magnitude of the force apply

### Calculous

A particle moves along the c-axis so that at time t its position is given by x(t)=t^2-6^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 particle t=0 to t=2

### Physics

Particle 1 of mass 3m initially moving with a speed v0 in the positive x-direction collides with particle 2 of mass m moving in the opposite direction with an unknown speed v.After collision,particle 1 moves along the negative y-direction with speed v0/2 and particle 2 moves ...

### physics

when an impulse is given to a particle, momentum is transferred from an external agent to that particle. What do they mean by external agent what is really an impulse beside saying that its a change in momentum

### Physics

A radioactive nucleus is at rest when it spontaneously decays by emitting an electron and neutrino (as shown in the figure below ). The momentum of the electron is 8.11 x 10−19 kg·m/s and it is directed at right angles to that of the neutrino. The neutrino's momentum ...

### Physics

A radioactive nucleus is at rest when it spontaneously decays by emitting an electron and neutrino (as shown in the figure below ). The momentum of the electron is 8.11 x 10−19 kg·m/s and it is directed at right angles to that of the neutrino. The neutrino's momentum ...

### Physics

A radioactive nucleus is at rest when it spontaneously decays by emitting an electron and neutrino (as shown in the figure below ). The momentum of the electron is 8.11 x 10−19 kg·m/s and it is directed at right angles to that of the neutrino. The neutrino's momentum ...

### math

A particle moves in a vertical plane under gravity and an air resistance whose magnitude per unit mass is k times the speed of the particle, where k is a positive constant. The coordinates of the particle at time t, with respect to a horizontal axis Ox and a vertically upward ...