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From Wikipedia
In physics, velocity is the measurement of the rate and direction of change in position of an object. It is a vectorphysical quantity; both magnitude and direction are required to define it. The scalarabsolute value (magnitude) of velocity is speed, a quantity that is measured in meters per second (m/s or ms^{âˆ’1}) when using the SI (metric) system.
For example, "5 meters per second" is a scalar and not a vector, whereas "5 meters per second east" is a vector. The average velocity v of an object moving through a displacement ( \Delta \mathbf{x}) during a time interval ( \Delta t) is described by the formula:
 \mathbf{\bar{v}} = \frac{\Delta \mathbf{x}}{\Delta t}.
The rate of change of velocity is accelerationâ€“ how an object's speed or direction changes over time, and how it is changing at a particular point in time.
Equation of motion
The velocity vector v of an object that has positions x(t) at time t and x(t + \Delta t) at time t + \Delta t, can be computed as the derivative of position:
 \mathbf{v} = \lim_{\Delta t \to 0} \over \Delta t}={\mathrm{d}\mathbf{x} \over \mathrm{d}t}.
Average velocity magnitude is always smaller than or equal to average speed of a given particle. Instantaneous velocity is always tangential to trajectory. Slope of tangent of position or displacement time graph is instantaneous velocity and its slope of chord is average velocity.
The equation for an object's velocity can be obtained mathematically by evaluating the integral of the equation for its acceleration beginning from some initial period time t_0 to some point in time later t_n.
The final velocity v of an object which starts with velocity u and then accelerates at constant acceleration a for a period of time \Delta t is:
 \mathbf{v} = \mathbf{u} + \mathbf{a} \Delta t.
The average velocity of an object undergoing constant acceleration is \tfrac {(\mathbf{u} + \mathbf{v})}{2}, where u is the initial velocity and v is the final velocity. To find the position, x, of such an accelerating object during a time interval, \Delta t, then:
 \Delta \mathbf{x} = \frac {( \mathbf{u} + \mathbf{v} )}{2}\Delta t.
When only the object's initial velocity is known, the expression,
 \Delta \mathbf{x} = \mathbf{u} \Delta t + \frac{1}{2}\mathbf{a} \Delta t^2,
can be used.
This can be expanded to give the position at any time t in the following way:
 \mathbf{x}(t) = \mathbf{x}(0) + \Delta \mathbf{x} = \mathbf{x}(0) + \mathbf{u} \Delta t + \frac{1}{2}\mathbf{a} \Delta t^2,
These basic equations for final velocity and position can be combined to form an equation that is independent of time, also known as Torricelli's equation:
 v^2 = u^2 + 2a\Delta x.\,
The above equations are valid for both Newtonian mechanics and special relativity. Where Newtonian mechanics and special relativity differ is in how different observers would describe the same situation. In particular, in Newtonian mechanics, all observers agree on the value of t and the transformation rules for position create a situation in which all nonaccelerating observers would describe the acceleration of an object with the same values. Neither is true for special relativity. In other words only relative velocity can be calculated.
In Newtonian mechanics, the kinetic energy (energy of motion), E_K, of a moving object is linear with both its mass and the square of its velocity:
 E_{K} = \begin{matrix} \frac{1}{2} \end{matrix} mv^2.
The kinetic energy is a scalar quantity.
Escape velocityis the minimum velocity a body must have in order to escape from the gravitational field of the earth. To escape from the Earth's gravitational field an object must have greater kinetic energy than its gravitational potential energy. The value of the escape velocity from the Earth's surface is approximately 11100 m/s.
Relative velocity
Relative velocity is a measurement of velocity between two objects as determined in a single coordinate system. Relative velocity is fundamental in both classical and modern physics, since many systems in physics deal with the relative motion of two or more particles. In Newtonian mechanics, the relative velocity is independent of the chosen inertial reference frame. This is not the case anymore with special relativity in which velocities depend on the choice of reference frame.
If an object A is moving with velocity vectorv and an object B with velocity vector w, then the velocity of object A relative to object B is defined as the difference of the two velocity vectors:
 \mathbf{v}_{A\text{ relative to }B} = \mathbf{v}  \mathbf{w}
Similarly the relative velocity of object B moving with velocity w, relative to object A moving with velocity v is:
 \mathbf{v}_{B\text{ relative to }A} = \mathbf{w}  \mathbf{v}
Usually the inertial frame is chosen in which the latter of the two mentioned objects is in rest.
Scalar velocities
In the one dimensional case, the velocities are scalars and the equation is either:
 \, v_{rel} = v  (w), if the two objects are moving in opposite directions, or:
 \, v_{rel} = v (+w), if the two objects are moving in the same direction.
Polar coordinates
In polar coordinates, a twodimensional velocity is described by a radial velocity, defined as the component of velocity away from or toward the origin (also known as velocity made good), and an
Formula D is a United Statesdrifting series. Judged on execution and style, rather than who finishes the course in the fastest time, with more than 60 drivers competing[http://www.formulad.com/drivers/] in 2010, Formula DRIFT is recognized as the premiere North American professional drifting championship series. The series visits 7 race tracks a season as of September 2010: Long Beach GP street course, Long Beach CA, Road Atlanta, Braselton GA, Wall Speedway in Wall NJ, Evergreen Speedway in Monroe WA, Las Vegas Motor Speedway in Las Vegas NV, Infineon Raceway in Sonoma CA, and Toyota Speedway at Irwindale CA. There was also a Formula D in Australia, which was announced in June 2005. The three tracks Formula D Australia visited in 2005 were Mallala Motor Sport Park in South Australia, Oran Park Raceway in New South Wales, and Winton Motor Raceway in Victoria. The series was held in conjunction with the DRIFT AUSTRALIA Championship. After the season, the series' website was no longer updated, and has since been taken down.
The American Formula D series advertises seven tire manufacturers (Nitto Tires, Toyo Tires, Maxxis Tires, Federal Tires, Falken Tires, Cooper Tires, Hankook Tires, Nexen Tires, and Kenda Tires).
Drivers
Other than domestic drivers, the series also attracts many drivers, Japanese in particular, who have competed in D1 Grand Prix. This is in the interest of sponsors who the United States as the larger share of the tuning market.
Other drivers who crossed over to FD from another series is Irishman Darren McNamara, who built his reputation in the British Isles before winning in Europe. His performance in the D1 Ireland VS UK exhibition event in 2005 attracted attention from Falken Tires who signed him up to compete in the US the latter part of 2006. He was joined in 2009 by fellow compatriot Eric O'Sullivan, who like McNamara did in 2007 (as well as competing in the same series), became the series Rookie of the Year.
To this date, only 3 drivers have won both FD and D1GP events, they are Mitsuru Haraguchi, Toshiki Yoshioka, and Vaughn Gittin, Jr..
Regulation differences between D1GP and Formula D
There are numerous differences between D1GP and Formula D in terms of car and competition regulations
Car eligibility
D1GP only allow convertible models as long as a supplied roll cage is used, whereas Formula D permits cars to be driven with its roof down. During the 2004 season, the Dodge Viper Competition Coupe was permitted to compete, whereas it was ineligible in D1.
Although Formula D does not permit Frontwheel drive cars, it does allow frontwheel drive cars to be converted to rear wheel drive, one example of this is Ken Gushi's rear wheel driveScion tC.
Unlike the D1 series, in which the cars are numbered according to the driver's ranking, drivers in Formula D are given fixed numbers for their cars.
Scoring and judging
Formula D uses a different scoring system than D1GP. In D1, points are given to drivers who compete in the tsuiso (twin run) round, known as Tandem Battle in Formula D; 20 for the winner going down to 2 for the 10th place finisher as well as 1 point for the rest of the drivers who competed in the tsuiou round.
In D1, drivers are given three runs during a tansou (solo run) round, in Formula D as Qualifying Single Runs and only the best of them will count which at the end of that round, drivers who score the perfect 100 points will be awarded one extra point to add to their championship score. In Formula D, competitors are given two nonconsecutive judged runs during the Single Runs segment of the competition which both will be judged. Starting orders will consists of drivers from the lowest rank starting first with those of the highest rank starting last whereas in D1, it is the other way round as it is seen that lower ranked drivers can take advantage of the surface grip when they start last.
Formula D drivers are scored on a pointsdeduction system where every driver will start their judged run with a perfect score of 100 pts. For every mistake, points will be deducted. These points will vary between .25 point to the most severe mistakes (1.75).
When there is a tie in scores during a competition, rather than in D1 which will call for a rerun until the winner can be decided, in Formula D, judges will use the driverâ€™s entry speed of the best run from the Qualifying Round as a tie breaker.
In
From Yahoo Answers
Answers:If you wish to answer these questions correctly you must remember that velocity and acceleration are both vectors. An answer which includes only magnitude is not the correct answer. Now to solve your examples: You want velocity: Velocity = displacement time Velocity = 2345 315 Velocity = 7.44m/s The velocity is 7.44 m/s in a direction to the west Acceleration This is the rate of change of velocity Acceleration = change of velocity time All unit must be in SI units 40 km/hr = 11.11 m/s 80km/hr = 22.22 m/s Acceleation = 11.11 2 Acceleration = 5.556 m/s in the original direction.
Answers:Acceleration = velocity / time Velocity = distance / time In your problem, to find the acceleration, use the formula: distance= starting distance + (initial velocity)(time) + 1/2(acceleration)(t ) plug in numbers: 50= 0 + (0)(10) + 1/2a(10 ) solve for a: a= 1 m/s For velocity, use: velocity = initial velocity + 2(acceleration)(distance) plugin numbers and solve for velocity, you should get that v=10 m/s
Answers:Chris Forsberg
Answers:I should think that if you have an initial and a final accel, and you need to find an accel, that you simply subtract a = a  a Now, this accel could be effected a number of ways: 1) a force (like gravity or friction) acting on a mass, a = F/m 2) a spring acting on a mass, a = kx/m 3) electromagnetic forces 4) etc. EDIT: I suspect that you meant initial and final VELOCITY, and a displacement. That's tricky. I don't know of such a formula. If there is one, I would think that it would have to be something like a = kv /x, where k is some dimensionless constant. v /x will give you the dimensions of acceleration. Or t = k(x/v) will yield seconds. Maybe t = x / v ? Try graphing velocity on the y axis and t on the x axis. (I know we don't know t, but some time has elapsed; don't use units.) If we assume UNIFORM acceleration, the line from (0 , v ) to (t , v ) will be a straight line. The area under the curve will be displacement. Maybe you can figure out how to make the area match your known displacement; that will give you t = t and you can go from there. That's all I've got. EDIT #2: I've been thinking about this, at the expense of some sleep. The graph described above i basically a rectangle with a right triangle on top (I assumed linear acceleration). The area is readily given as s = (v + v )t, so t = 2s / (v + v ) For uniform acceleration, a = v / t = (v  v )/t = (v  v )(v + v ) / 2s your formula! a < 0 if v < v Voila! FINAL EDIT: I was working another problem and I stumbled upon a more direct answer to your question. If you multiply the numerator terms in the eqn above, you get a = ( (v )  (v ) ) / 2s which can be rearranged as (v ) = (v ) + 2as which is Torricelli's equation.
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