Kinematics Definition and 1000 Threads

Homework Statement A particle moves along a straight line such that its acceleration is a = (4t2-2) \frac{m}{s^2}, where t is in seconds. When t = 0, the particle is located 1 m to the left of the origin, and when t = 2 s, it is 20 m to the left of the origin. Determine the position of the...

Homework Statement The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies the...

So the problem is: a 1000 kg rocket is fired straight up, a 100 kg rocket is fired straight up with a constant acceleration for 16 seconds. It then stops accelerating and 20 seconds after launch reaches a height of 5100 m. Ignore air resistance. Find the acceleration of the rocket for the...

Homework Statement I am not going to use the exact same problem, as that would be cheating as this is for school, but Instead i will use an example problem: A can of pop is tossed directly upwards with an initial velocity of 4 m/s. How high will it go? Homework Equations I know...

1. The distance from two airports is 1286 km by air. Plane A leaves the first airport at 10:00a heading north toward the second airport, another plane leaves from the second airport at 11:00a heading south towards the destination plane A originally departed from. Plane A travels at 720km/h, and...

http://www.examsolutions.net/a-level-maths-papers/Edexcel/Mechanics/Mechanics-M1/2010-June/paper.php Q. 8 T = 3.36 a = 1.4 for part c) First I found the velocity of A after it has moved for 0.5 s, and the displacement it has moved after 0.5 seconds: I get that its velocity is...

Homework Statement a particle travels along a straight line and the acceleration is given by a = 30 - 0.2v determine the time when the velocity of the particle is v = 30Homework Equations \int \frac {dv}{ax+b} = \frac{1}{a} \ln (ax+b) The Attempt at a Solution This is the solution from the...

The problem: (Note: the correct answer is bolded throughout) A basketball is launched with an initial speed of 8 m/s at a 45 degree angle from the horizontal. The ball enters the basket in 0.96 seconds. What is the distance x and y? Just ignore the distance x, I know it's simply the product...

Hi guys. I'm new here. If i did any mistake please forgive me. First of all I have a simple problem need all of you to help me. Here is the problem The acceleration of a particle is defined by the relation a = -k√v, where k is constant. Knowing that x = 0 and v =...

Homework Statement 6) a helicopter blade spins at exactly 100 revolutions per minute. It's tip is 5.00m from the center of it's rotation. (a) calculate the average speed of the blade tip from the helicopters frame of reference. (b) What is it's average velocity over one revolution? radius...

Homework Statement { y }_{ f }={ y }_{ i }+{ v }_{ yi }t+\frac { 1 }{ 2 } { a }_{ y }{ t }^{ 2 }\\ { v }_{ yf }={ v }_{ yi }+{ a }_{ y }t Derive { { v }_{ yf } }^{ 2 }={ { v }_{ yi } }^{ 2 }+2{ a }_{ y }({ y }_{ f }-{ y }_{ i }) 2. The attempt at a solution This isn't an actual...

{ y }_{ f }={ y }_{ i }+{ v }_{ yi }t+\frac { 1 }{ 2 } { a }_{ y }{ t }^{ 2 }\\ { v }_{ yf }={ v }_{ yi }+{ a }_{ y }t It almost looks like the second equation is the derivative of the first equation with respect to time.

Homework Statement An electron is accelerated from rest to a velocity of 2.0x10^7 m/s. a) if the electron traveled 0.10m while it was being accelerated, what was its acceleration? b)How long did the electron take to attain its final velocity? V1= 0m/s V2= 2.0x10^7m/s d= 0.10m a=...

Homework Statement A barrel is lowered into a boat using the illustrated apparatus. The barrel can be considered to be a uniform cylinder with M=100kg and r=0.40m. The weight on the other end of the rope has m=30kg. Assume that the barrel does not slip against the wall, that the other 2...

Could someone point me to the proof or reasoning behind the steps: 1) a = dv/dt 2) a dt = dv 3) ∫a dt = ∫dv I know this works, but I'm missing understanding in the math behind it, and I'm not sure what to type into google. Thank you very much

Homework Statement Determine the relationship between the angular acceleration of the flywheel, the downward acceleration of the block, and the radius of the ring. Known data: Mass Ring: 1.420 kg Radius Ring (Inside, then Outside): 5.10 cm, 6.325 cm Mass Disk: 1.455 kg Radius Disk...

Folks, Trying to get some appreciation for what is going on in the attached schematic of 1)Euler bernoulli and 2) Timoshenko beam elements. For the first one, ie the top picture, how was ##u- z \frac{dw}{dx}## arrived at? thanks

Homework Statement I'm reviewing a chapter relating linear and angular kinematics, and I came across this equation.. why does it work and where does it come from? I can't seem to find anything in the textbook explaining it. Homework Equations a = sqrt( (tangential acceleration)2 +...

Homework Statement A basketball is thrown from a height of 2m. The direction of its velocity when it hits the rim of the basketball hoop is 45 degrees below the horizontal. The basketball hoop is 3m above the ground and 4.5 m in front of the shooter. How long does the ball take to hit the rim...

The equation v22 = vo2 + 2aΔy is used to determine the change in position, acceleration, or velocity of a particle under the influence of a quadratic force. on earth, the acceleration value in this equation would, under normal circumstances, be a= -9.8 m/s2. so, this...

Homework Statement Given: m = 17kg Vi = 0 Fa=42N θ=25 Mu=0.15 T=125s Diagram: http://s14.postimage.org/euy3whikh/New_Bitmap_Image.png Find: Δd a block accellerates from rest for 125s find the displacement. Frictional forces act on the block. A force applied is 25 degrees above the...

Hey everyone, I have a question from a past exam paper that I was doing. I spent a lot of time trying to solve it, however I have failed. I would appreiciate it if I got some assistance from a professional or someone that can answer it correctly. Question: A car is parked on the side...

Homework Statement 5. An object is thrown vertically upwards with a speed of 72 kilometres per hour. How long does it take to reach a point 25 meters below the starting point? You can take g as 10 ms-2 for convenience. Here is my answer. I got 4 yet the answer is 5...

A swing bridge has to be turned through a right angle in 120 seconds. The first 50.4 seconds is a period of uniform angular acceleration ; the subsequent 34.8 seconds is a period of uniform angular velocity and the third period of 34.8 seconds is a period of uniform angular retardation. Input...

Hello, I have a general question regarding what is the best controller (PI, PD, etc.) to control the position of a mobile robot in order to follow a known path. The mobile robot at hand is a mechanism (a 4 bar linkage with its two base gliding on two parallel but not straight rails) and I...

Homework Statement In a 1985 study, cats were trained to jump up and touch a cotton ball in an effort to study their thigh muscles. One cat was able to jump 2.93 meters off the ground. What is its hang time? In other words, what total time was the cat in the air? s What was its...

What happens to range if the initial height is doubled. Say if something is shot at 2 ft and then its shot at 4 ft high, what happens to range? I know that its conservation of energy. I just have no idea how to come up with the right answer

Range and Height Kinematics? What happens to range if the initial height is doubled. Say if something is shot at 2 ft and then its shot at 4 ft high, what happens to range?

A flywheel 1.2 m in diameter is uniformly accelerated from rest and revolves completely 68 times in reaching a speed of 125 rev/min. Find the time taken to reach this speed i have been given the correct answer as 65.29 seconds Wht i have up to now ω1 = 0 ω2 = 125 r/min = 125/60 =...

[b]1. Consider a fan that has rotated by a total of 2 complete revolutions from where it started. This quantity (2 revolutions) is analogous to what quantity in linear kinematics? Position Displacement Velocity Speed Time Time Homework Equations I am...

Homework Statement A ball is thrown upward from a building 30 meters tall and misses the edge on its way down, hitting the ground 6 seconds after it was thrown. A) With what speed was it thrown? B) What is its highest height?Homework Equations Vf = Vi + at x = 1/2(Vi + Vf) x = Vi t + 1/2(at^2)...

I need a lot of help with Kinematics and Dynamics so forces and motion would be what you can call that. I have a teacher that does not teach, I have had her for two years in a row now so if I had some knowledge from grade 11, It would still help me but I learned close to nothing in Grade 11 and...

Homework Statement http://imgur.com/fGYf0 Stuck on #3 Homework Equations V = Vi + a*t Y = (1/2)gt^2 + (ViY * t) + Yi The Attempt at a Solution I have found the vertical and horizontal components and the initial velocity. ViX = 6.2 ViY = 9.922 Vi = 11.7 Yf = 0 Yi = 7 Xi =...

Homework Statement A ball is thrown vertically upward from a window at 10m/s. It hits the ground 5.0 seconds later. What is the height of the window from the ground? Given Vi = 10 m/s Vf = 0 Δt = 5.0 m/s Δa = -9.8 m/s^2 Find Δd(w-g) = ?Homework Equations Δd = Vi(Δt) + Δa(Δt)^2 And the...

Homework Statement Suppose that a woman driving a Mercedes zooms out of a darkened tunnel at 30.3 m/s. She is momentarily blinded by the sunshine. When she recovers, she sees that she is fast overtaking a camper ahead in her lane moving at the slower speed of 13.7 m/s. She hits the brakes as...

Homework Statement Maverick in an F-14 is moving at a constant velocity of 509 km/hr. He is chasing a "bogey," also known as a Russian MiG-28 (at least, in the movie they were - there's no such thing as a MiG-28), which is moving with a constant velocity of 592 km/hr in the same direction...

Homework Statement A balloon is at a height of 81 m is ascending upward with a velocity of 12 ms1. A body of 2 kg weight is dropped from it. If g = 10 ms2, the body will reach the surface of Earth in what time. Homework Equations The Attempt at a Solution I don't think mass...

How would I go about solving a problem like this? What would the answer be? Homework Statement Rockets A and B are fired straight upward from rest at the same time. Rocket A accelerates at 12.2 m/s2, while rocket B accelerates at 15.9 m/s2. Solve for the moment in time when the rockets are...

Homework Statement A jetliner touches down at 270 km/h. The plane then decelerates (i.e., undergoes acceleration directed opposite its velocity) at 4.5 m/s2. What’s the minimum runway length on which this aircraft can land? Homework Equations v2fx = v2ix + 2axΔx The Attempt at a Solution i...

A boy in a wagon starts from a rest position and then goes down a straight ramp, gaining speed with uniform acceleration as he travels. In 6.00 s, he is traveling at 4.2 m/s. a) What is his velocity at 10.0 s? a = v2 – v1 / Δt a = 4.2 m/s [down] – 0 / 6.0 s a = 0.70 m/s^2 [down] v2...

Homework Statement Sand moves without slipping at 6.0m/s down a conveyer belt that is tilted 15°. The sand enters a pipe 3.0m below the end of the conveyer belt. What is the horizontal distance between the conveyer belt and the pipe? Not sure where to start.

Homework Statement A projectile is shot from the edge of a vertical cliff 60.0meters above the ocean. It has a speed of 100m/s and is fired at an angle of 35 degrees above horizontal. How far from the foot of the vertical cliff does the projectile land. Homework Equations Yf= Yinitial + ViT...

Homework Statement Three points are located at the vertices of an equilateral triangle whose sides equals a. They all start moving simultaneously with velocity v constant in modulus, with the first point heading continually for the second, the second for the third, and the third for the first...

Consider two balls on an inclined track with a constant angle. Ball A is released from rest at the top of the track. Ball B is given an initial velocity directed down the track. At the instant that the balls collide, Ball A is going 4 times as fast as Ball B. Ball B is still traveling upward...

Homework Statement A missile is launched from a silo 50m deep. After 20 seconds the engine stops, there is a 10 second period where the rocket is coasting straight up. At the end of this period, the rocket is 8000m above the ground. a) What is initial acceleration of rocket? b) What is...

1) Jim decides to jump a gorge on his skateboard. The gorge is 50 m wide and jim has constructed a 1 m high ramp iclined at 30 degrees to the horizontal. If air resistance is neglected, calculate what speed Bart must reach if he is to land safely on the other side of the gorge. The answer is...

Homework Statement A commuter train can minimize the time t between two stations by accelerating (a1 = 0.1 m/s^2) for a time t1 then undergoing a negative acceleration (a2 = -0.5 m/s^2) by using his brakes for a time t2. Since the stations are only 1 km apart, the train never reaches its...

So, there's a question that's been bugging me. If a ball is thrown upward to find out the height of a flag by timing when the ball passes the flag how do you find the height given that the ball passes the flag twice. When only time is given. So let's say t=5seconds and t=15 seconds I know...

I have a problem with this question. An arrow is shot horizontally towards point O, which is at a distance of 20.0 m. It hits point P (right below point O) 0.10 s later. What is the distance OP (in metres)? What do i need to find? How would i know the time taken for the arrow to reach o?

Homework Statement A daredevil motorcyclist attempts to leap a 48m wide gorge. At the side where the cyclist starts, the ground slopes upward at an angle of 15 degrees. Beyond the far rim, the ground is level and is 5.9m below the near rim. what is the minimum speed necessary for the cyclist to...