# 2 masses, pulley on a frictionless incline

6,200 results

**Physics**

Four balls are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 95 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 56.0 N (between ball A & B), T2 = 46.7 N (between ball B & C), and ...

**physics**

A small block with mass 0.308 kg is sliding down a frictionless ramp that is inclined at an angle of 53.1° above the horizontal. Assume g = 9.80 m/s2. (a) As the object slides down the incline, what is the magnitude of the normal force that the surface of the incline exerts ...

**physics**

A mass of 11 kg is placed on a frictionless incline which is inclined at an angle of 69 degrees above the horizontal. It is held in place by a rope which is attached to a wall at the top of the incline. The rope is angled 13 degrees above the direction parallel to the incline...

**physics**

A box slides down a frictionless 35 degree incline. Determine its acceleration. If the incline is 10.0 m long and the box starts from rest, how much time does it take to get to the bottom?

**Physics**

A block of mass m = 2.00 kg is released from rest h = 0.500 m from the surface of a table, at the top of a theta = 30.0° incline. The frictionless incline is fixed on a table of height H = 2.00 m. (a) Determine the acceleration of the block as it slides down the incline. (b) ...

**physics**

In the Atwood machine shown in Figure 5.14a, m1 = 2.00 kg and m2 = 8.00 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into ...

**Physics**

How far x does it move down the incline before coming to rest? Suppose the incline is frictionless. The angle of inclination is 36 ◦ , the spring constant is 89.6 N/m the mass of the block is 9.05 kg and the acceleration of gravity is 9.8 m/s2 . Answer in units of m ...

**Physics**

How far x does it move down the incline before coming to rest? Suppose the incline is frictionless. The angle of inclination is 36 ◦ , the spring constant is 89.6 N/m the mass of the block is 9.05 kg and the acceleration of gravity is 9.8 m/s2 . Answer in units of m ...

**physics**

A skier is gliding along at on horizontal, frictionless snow. He suddenly starts down a incline. His speed at the bottom is . What is the length of the incline? How long does it take him to reach the bottom?

**PHYSICS**

A skier is gliding along at on horizontal, frictionless snow. He suddenly starts down a incline. His speed at the bottom is . What is the length of the incline? How long does it take him to reach the bottom?

**Physics**

Two objects with masses of 1.00 kg and 7.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. (a) Determine the tension in the string. (b) Determine the acceleration of each object. (c) Determine the distance each object will ...

**physics**

In the frictionless apparatus m1=1.7kg a)What is m2 if both masses are at rest? b) How about if both masses are moving at constant velocity?

**physics**

A 12 kg mass on a horizontal friction-free air track is accelerated by a string attached to a 100 kg mass hanging vertically from a pulley as shown. Compare the accelerations when the masses are interchanged, that is, for the case where the 100 kg mass dangles over the pulley...

**physics**

Two masses are connected by a light string passing over a frictionless pulley as shown on Figure. The M2= 6.1 kg mass is released from rest at height h = 2.8 m . We are given that M1=2.7 kg and I, the moment of inertia of the pulley is I = 0.198 kg m2 and its radius is R = 0....

**Physics**

There is a block of mass 1 on a frictionless surface attached to a string. The string goes over a frictionless pulley. The pulley is a hoop with a rotational inertia of I=MR^2. The other end of the string is attached to a hanging block of mass 2. The hanging block is then ...

**physics**

1. A ball moving horizontally clears a net 2 meters high. What maximum speed can it have if it is to fall within 5 meters of the net? 2.A pulley system lifts a load of 800 Newtons, 20 centimeters while the rope pulling it moves 100 cm. a. How much force must be applied to lift...

**Physics**

Two blocks with masses m1 = 3.9 kg and m2 = 6.7 kg are connected by a string that hangs over a pulley of mass M = 2.2 kg and radius R = 0.11 m as shown above. The string does not slip. Assuming the system starts from rest, use energy principle find the speed of m2 after it has...

**Science**

Two blocks with masses m1 = 3.9 kg and m2 = 6.7 kg are connected by a string that hangs over a pulley of mass M = 2.2 kg and radius R = 0.11 m as shown above. The string does not slip. Assuming the system starts from rest, use energy principle find the speed of m2 after it has...

**Mechanics**

Two blocks with masses m1 = kg and m2 = kg are connected by a string that hangs over a pulley of mass M = kg and radius R = m as shown above. The string does not slip. Assuming the system starts from rest, use energy principle find the speed of m2 after it has fallen by m. ...

**Physics**

An Atwood's machine consists of masses m1 and m2, and a pulley of negligible mass and friction. Starting from rest, the speed of the two masses is 3.80 m/s at the end of 3.16 s. At that time, the kinetic energy of the system is 77.0 J and each mass has moved a distance of 6.00...

**Physics**

The spring shown in the figure is compressed 59cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the 30∘ incline is 0.14 . k= 80,000 N/m m=100 kg uk= .14 DeltaX= 59 ...

**Physics**

A skier is gliding along at 5.0{\rm m/s} on horizontal, frictionless snow. He suddenly starts down a 15{\rm ^{\circ}} incline. His speed at the bottom is 15{\rm m/s} . What is the length of the incline? How long does it take him to reach the bottom?

**physics**

Two blocks of masses is m and 2m are held in the equilibrium on a frictionless incline. In terms of m and x, find the magnitude of the tension t1 in the upper cord and the magnitude of the tension t2 in the lower cord connecting two blocks.

**physics**

In the (Figure 1) the coefficient of static friction between mass mA and the table is 0.42, whereas the coefficient of kinetic friction is 0.17. Ignore masses of the cord and the (frictionless) pulley. What minimum value of mA will keep the system from starting to move? What ...

**Physics help pleaseeee**

A horizontal spring with a spring constant of 200.0 N/m is compressed 25.0 cm and used to launch a 3.00 kg block across a frictionless surface. After the block travels some distance, the block goes up a 32 degree incline that has a coefficient of friction of 0.25 between the ...

**Physics Help Please**

A horizontal spring with a spring constant of 200.0 N/m is compressed 25.0 cm and used to launch a 3.00 kg block across a frictionless surface. After the block travels some distance, the block goes up a 32 degree incline that has a coefficient of friction of 0.25 between the ...

**physics**

The masses of blocks A and B are 4.5 kg and 3.7 kg respectively. The blocks are initially at rest and are connected by a massless string passing over a massless, frictionless pulley. The system is released from rest. a. What is the acceleration of the blocks? b. What is the ...

**Physics**

In the figure below, two blocks are connected over a pulley. The mass of block A is 12 kg, and the coefficient of kinetic friction between A and the incline is 0.22. Angle θ is 30°. Block A slides down the incline at constant speed. What is the mass of block B?

**Physics**

A block of mass 2.5 kg hangs vertically from a frictionless pulley of mass 6.5 kg and radius 16 cm. Treat the pulley as a disk. Find: a) the acceleration of the block b) the tension in the rope I don't even know where to begin,

**Physics**

A skier is gliding along at 5.0m/s on horizontal, frictionless snow. He suddenly starts down a 13 degrees incline. His speed at the bottom is 12m/s. What is the length of the incline? How long does it take him to reach the bottom?

**Physics**

A skier is gliding along at 4.7m/s on horizontal, frictionless snow. He suddenly starts down a 10∘ incline. His speed at the bottom is 15m/s . What is the length of the incline? How long does it take him to reach the bottom?

**Phsyics**

A skier is gliding along at 2.5m/s on horizontal, frictionless snow. He suddenly starts down a 10∘ incline. His speed at the bottom is 13m/s . What is the length of the incline? How long does it take him to reach the bottom?

**physics**

[20 pts] A 2.00 kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37 degrees. (a) What is ...

**physics ( please help me)**

A 2.00kg block is pushed against a spring with force constant k=400N(m^-1), compressing it 0.180m. The block is then released and moves along a frictionless horizontal surface and then up frictionless incline with slope angle 37.0degrees. a. What is the speed of the block as ...

**please help me!! physics**

The masses of blocks A and B are 4.5 kg and 3.7 kg respectively. The blocks are initially at rest and are connected by a massless string passing over a massless, frictionless pulley. The system is released from rest. a. What is the acceleration of the blocks? b. What is the ...

**Physics**

A hanging mass, M1 = 0.78 kg, is attached by a light string that runs over a frictionless pulley to a mass M2 = 1.48 kg that is initially at rest on a frictionless table. Find the magnitude of the acceleration, a, of M2 in m/s^2.

**Physics**

Two particles of masses 6kg and 3kg are attached to the two ends of an inextensible string passing over a pulley.the string is kept taut and the masses are released.. Calculate the common velocity of the particle and the distancetravelled after 5s

**physics**

A frictionless plane is 15m long and inclined at 39.8 degrees. A sled starts at the bottom with an initial speed of 6.46m/s up the incline. When it reaches the point at which it momentarily stops, a second sled is released from the top of this incline with an initial speed vi...

**cpcc**

A frictionless plane is 10.0 m long and inclined at 33.0°. A sled starts at the bottom with an initial speed of 4.30 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed ...

**BK**

If the incline is 25 degrees and a box that is resting on the frictionless incline 50 kg, what is the box acceleration

**maths,science, physics**

A mass of 2kg resting on a smooth level table is connected by a light in extensible string passing over a frictionless pulley to a suspended 3kg mass (imagine as shown on the diagram).Find: I.The tension in the string. II. The magnitude of the acceleration of the two masses. ...

**PHYSICS**

A skier is gliding along at 2.0 m/s on horizontal, frictionless snow. He suddenly starts down a 10 ∘ incline. His speed at the bottom is 15 m/s . a).What is the length of the incline? b).How long does it take him to reach the bottom? (Please show work)

**physics**

A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.440 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg block is released from rest at the top of the ...

**Physics**

Hi, I've been having issues with solving this problem. Could anyone help? Two blocks, of masses M = 2.0 kg and 2M are connected to a spring of spring constant k = 215 N/m that has one end fixed, as shown in the figure below. The horizontal surface and the pulley are ...

**physics**

A 0.50-kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.30 (the figure below). After sliding 84 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring (k = 33 N/m). (a) What is the maximum ...

**physics**

A 0.50-kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.30 (the figure below). After sliding 84 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring (k = 33 N/m). (a) What is the maximum ...

**Physics**

Review problem. A block of mass m = 2.00 kg is released from rest at h = 0.500 m above the surface of a table, at the top of a theta = 30.0 incline as shown in Figure 3. The frictionless incline is fixed on a table of height H = 2.00 m. (a) Determine the acceleration of the ...

**physics urgent**

I need help with this problem. I know the answer is (2.1630342940) but I have no idea how to get there. I know i need to sum the forces for each. Block m1( 6 kg ), lies on an incline plane with a coefficient of kinetic friction of 0.15. m1 is connected to mass m2 by a massless...

**physics**

Two blocks with masses m1 = 1.10 kg and m2 = 3.10 kg are connected by a massless string, as shown in the Figure (the figure shows m1 on top of a box and m2 hanging off the side of the box). They are released from rest. The coefficent of kinetic friction between the upper block...

**physics**

Two blocks with masses m1 = 1.10 kg and m2 = 3.10 kg are connected by a massless string, as shown in the Figure (the figure shows m1 on top of a box and m2 hanging off the side of the box). They are released from rest. The coefficent of kinetic friction between the upper block...

**physics**

Question Part Points Submissions Used 1 2 3 4 5 –/5 –/5 0/5 –/5 2/2 0/10 0/10 1/10 0/10 2/10 Total 2/22 A block of mass m = 2.00 kg is released from rest at h = 0.400 m from the surface of a table, at the top of a θ = 35.0° incline as shown below. The frictionless ...

**physics**

Find the acceleration (mls^2) of the masses, given that m1= 1.0kg, m2= 2.0kg and m3= 3.0kg . Assume the table is frictionless and the masses move freely.

**Physics**

A uniform spherical shell of mass M = 19.7 kg and radius R = 1.62 m rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 1.02 kg m2 and radius r = 0.63 m, and is attached to a ...

**Physics**

A mass of m1 = 6.00 kg is sitting on an inclined plane, which meets the horizantal at an angle of 22.0, which has a coefficient of sliding friction of 0.290, which is 3.50 m = L. a string is attached to m1, it is strung over a pulley, and attached to mass m2 = 7.0kg which is ...

**Physics**

In an Atwood machine, one block has a mass of M1 = 520 g and the other has a mass of M2 = 320 g. The frictionless pulley has a radius of 4.6 cm. When released from rest, the heavier block moves down 51 cm in 1.00 s (no slippage). What is the tension T1? Find the pulley's ...

**Physics**

In an Atwood machine, one block has a mass of M1 = 520 g and the other has a mass of M2 = 320 g. The frictionless pulley has a radius of 4.6 cm. When released from rest, the heavier block moves down 51 cm in 1.00 s (no slippage). What is the tension T1? Find the pulley's ...

**physics**

A uniform solid sphere rolls down an incline. (a) What must be the incline angle if the linear acceleration of the center of the sphere is to have a magnitude of 0.20g? 1° (b) If a frictionless block were to slide down the incline at that angle, would its acceleration ...

**PHYS 101**

A block of mass m = 1.70kg is released from rest h = 0.485m from the surface of a table, at the top of a θ = 27.4° incline as shown in the figure below. I got a few of the questions a)The frictionless incline is fixed on a table of height H = 1.98m. Determine the ...

**Physics**

Blocks of mass m1 and m2 are connected by a massless string that passes over a frictionless pulley. Mass m1 slides on a frictionless surface. Mass m2 is released while the blocks are at rest. The pulley is a solid disk with a mass mp and a radius R. Use conservation of energy ...

**Physics**

Two objects are connected by a massless string, as shown in the figure below. The incline and pulley are frictionless. (a) Find the acceleration of the objects. (Assume that positive acceleration is to the right for m1 and downward for m2. Answer using m1 for m1, m2 for m2, g ...

**PLEASE HELP ME SOLVE !!!!!!!!**

A mass of 11 kg is placed on a frictionless incline which is inclined at an angle of 69 degrees above the horizontal. It is held in place by a rope which is attached to a wall at the top of the incline. The rope is angled 13 degrees above the direction parallel to the incline...

**Physics**

An 8.00g bullet is fired at 220m/s into a 250g wooden block that is initially at rest. The bullet remains in the block and after the collision the two slide up a 30 degree incline. a) Solve for the velocity of the bullet block after the collision. b) Determine the distance ...

**Physics**

A 2000kg car begins from rest and rolls 50.0m down a frictionless 10 degrees incline. If there is a horizontal spring at the end of the incline, what spring constant is required to stop the car in a distance of 1.00m?

**physics**

The system shown in the figure below consists of a m1 = 5.52-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.76-kg block.The pulley is a uniform ...

**physics**

The system shown in the figure below consists of a m1 = 5.52-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.76-kg block.The pulley is a uniform ...

**physics**

The system shown in the figure below consists of a m1 = 5.52-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.76-kg block.The pulley is a uniform ...

**physics**

The system shown in the figure below consists of a m1 = 5.52-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.76-kg block.The pulley is a uniform ...

**physics**

The system shown in the figure below consists of a m1 = 5.52-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.76-kg block.The pulley is a uniform ...

**physics**

The system shown in the figure below consists of a m1 = 5.52-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.76-kg block.The pulley is a uniform ...

**physics**

The system shown below consists of a block of mass M = 4.4 kg resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging block of mass m = 1.9 kg. The pulley is a uniform ...

**Physics**

A block of mass 3.1 kg hangs vertically from a frictionless pulley of mass 5.9 kg and radius 14 cm. Treat the pulley as a disk. Find: a) the acceleration of the block; b) the tension in the rope; c) the speed of the block after it has fallen 55 cm, assuming it started at rest:

**Science**

A block of mass 3.1 kg hangs vertically from a frictionless pulley of mass 5.9 kg and radius 14 cm. Treat the pulley as a disk. Find: a) the acceleration of the block; b) the tension in the rope; c) the speed of the block after it has fallen 55 cm, assuming it started at rest:

**Physics**

Two blocks with masses m1 = 1.40 kg and m2 = 3.00 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper block and the surface is 0.390.In the figure m1 is on top of a horizontal table ...

**physics please help :/**

A 0.50-kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.30 (the figure below). After sliding 84 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring (k = 33 N/m). (a) What is the maximum ...

**Physics**

A massless string runs around two massless, frictionless pulleys, where one pulley is attached to the ceiling, and the other is suspended with a mass m. An object with mass m = 17 kg hangs from one pulley. A force F is exerted on the free end of the string to lift the object ...

**physics**

In the Atwood machine shown below, m1 = 2.00 kg and m2 = 6.00 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at ...

**PHYSICS**

Which machines has more mechanical advantage pulley or incline plane? I asked this question before but did not quite understand the answers that were given to me. I think that the incline plane has more mechanical advantage in a friction less environment.

**physics**

Two objects (41.0 and 20.8 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find the acceleration of the objects and the tension in the string.

**physics**

Two objects (39.0 and 21.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.

**physics**

Two objects (52.0 and 20.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.

**physics**

Two objects (53.0 and 16.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.

**Physics**

A block slides down a frictionless plane having an inclination of 18.9deg. If the block starts from rest at the top and the length of this incline is 2.21m, find the acceleration of the block. b). What is the block's speed when it reaches the bottom of the incline?

**physics**

An 849 g mass is attached to a pulley and a 9 N weight is attached to a thin massless cord, as shown below. .5 849 g 9 N T What is the tension T? The pulley is massless and frictionless. The acceleration of gravity is 9.8 m/s 2 . Answer in units of N

**Physics**

A 10.0N frictionless pulley is suspended from an overhead supported by a chain. two weights suspend off the pulley. One weight is 30.0N and the other is 20.0N. (a) What is the tension on the rope? (B) what is the acceleration of the weights? (c) what is the tension on the chain?

**Physics**

A 10.0N frictionless pulley is suspended from an overhead supported by a chain. two weights suspend off the pulley. One weight is 30.0N and the other is 20.0N. (a) What is the tension on the rope? (B) what is the acceleration of the weights? (c) what is the tension on the chain?

**physics**

To push a 25.0kg crate up a frictionless surface incline angled at 25 degrees to the horizontal, a worker exerts a force of magnitude 209N parallel to the incline. As the crate slides 1.50m, how much work is done on they crate by (a) the worker's applied force, (b) the ...

**Physics**

Two masses, mass A (1.9 kg) and B (3.3 kg) are hung on either side of a pulley. The masses each have an initial speed of 0.8 m/s, with mass B moving up. How high, in m, does mass B move after being released at this initial speed?

**Physics/mats**

Two blocks with masses m1 = 1.40 kg and m2 = 3.00 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper block and the surface is 0.390.In the figure m1 is on top of a horizontal table ...

**Physics**

A simple Atwood’s machine uses a massless pulley and two masses m1 and m2. Starting from rest, the speed of the two masses is 8.2 m/s at the end of 2.2 s. At that time, the kinetic energy of the system is 30 J and each mass has moved a distance of 9.02 m. Find the value of ...

**physics**

A 47 N box is pulled along a frictionless horizontal surface by a 25 N weight hanging from a cord on a frictionless pulley? What is the acceleration of the system (box and the weight)?

**Science**

Three masses sitting on three pulleys,the masses are 5kg,9kg,8kg.the system is in equilibrium,the pulleys are frictionless & massless

**physics**

a mass is released from rest from a height of 4m. it slides down a frictionless ramp then along a 20 degree incline section of rough track. how far does it slide along the incline before coming to rest? friction coeficient= .2 ? help! thanks!

**physics**

A 16 lb block rests on a horizontal frictionless surface. A cord attached to the block, running horizontally, passes over a pulley whose diameter is 1 in, to a hanging block weighing 16 lb. The system is released from rest, and the blocks are observed to move 7.6 ft in 4 s. ...

**MECHANICS NEED HELP ASAP PLEASE !!!**

A block of mass 3.8 kg hangs vertically from a frictionless pulley of mass 5.9 kg and radius 20 cm. Treat the pulley as a disk. Find: a) the acceleration of the block; b) the tension in the rope; c) the speed of the block after it has fallen 60 cm, assuming it started at rest:

**Physics**

a 2 kg mass and a 3 kg mass are attached to a lightweight cord that passes over a frictionless pully. the hanging masses are left free to move. a. in what direction will the smaller masses move? b.what will be its acceleration

**physics**

A uniform spherical shell of mass M = 8.00 kg and radius R = 0.550 m can rotate about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.130 kg·m2 and radius r = 0.140 m, and is attached ...

**Physics**

I have posted the same questions over and over and received no help. Will someone please help me? A horizontal spring with a spring constant of 200.0 N/m is compressed 25.0 cm and used to launch a 3.00 kg block across a frictionless surface. After the block travels some ...

**phyics help nedded**

In the figure below, three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mA = 24.0 kg, mB = 40.0 kg, mC = 30.0 kg. (a) When the assembly is released from rest, what is the ...

**Physics**

Two blocks are connected by a light string passing over a pulley. The inclined surfaces are frictionless, and the effects of the pulley can be ignored. The value of m1 = m2 = 1.0 kg and θ2 = 43.4 degrees. If the blocks accelerate to the right with acceleration a = 0.280 m...

**physics**

In an Atwood machine m1 = 2.00 kg and m2 = 6.50 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at vi = 2.20 m/s ...