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Seconds Bull Motion

how do i solve this physics projectile motion problem?
a rifle is used to shoot twice at a target, using identical cartridges. The first time, the rifle is aimed parallel to the ground and directly to the center of the bull's eye. The bullet strikes the target at a distance Ha below the center, however. The second time, the rifle is similarly aimed but twice the distance from the target. This time the bullet strikes at a distance of Hb below the center. Find the ratio of Ha/Ba
CORRECTION: the ratio of Ha/Hb
Assuming we can neglect air resistance, as most problems do:
The bullet accelerates downward at 9.8 m/s^2, starting with an initial downward velocity Vi of 0.
In a period of time T, the bullet will reach a final downward velocity of: Vf = (9.8 * T)
The distance traveled in that time will be the average vertical speed multiplied by time: Ha = [(Vf + Vi)/2] * T.
Since Vi = 0, we can simplify: Ha = 1/2 * (Vf * T)
When you double the distance, you are also doubling the time before the bullet hits the target (if we ignore air resistance). This gives the bullet twice as much time to fall. But it will fall more than just twice as much because it is accelerating. It will accelerate to: (2 * Vf).
So the 2nd equation is:
Hb = [ (2Vf + 0) / 2 ] * 2T = 2 (Vf * T)
Comparing the two equations is the same as comparing 1/2 and 2. The ratio (Ha / Hb) = .5 / 2 = 1/4
So your answer is 1/4.
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Seconds $10.49 Seconds |
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8 Seconds $4.97 Synopsis: An ex-bull rider trains his son who becomes the world rodeo champion in 1987 Oklahoma. Format: DVD Color: Color Rating: PG-13 Genre: Drama Runtime: 104 Subtitle: Y Year: 1994 |
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8 Seconds (1994) - DVD $12.98 8 Seconds (1994) - DVD True story of rodeo legend Lane Frost a bull-riding champion born to ride. Starring Luke Perry Stephen Baldwin and Cynthia Geary. Directed by John G. Avildsen |
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8 Seconds - Widescreen $5.99 Luke Perry stars in this biography of the late Lane Frost, a champion bull rider who in 1987 won a rodeo world championship at the tender age of 21. In Eight Seconds (the title refers to the minimum amount of time a rider must stay on a bull in competition), Lane Frost is a young man from Oklahoma who learns to ride, hoping to win the approval of his emotionally distant father. As Lane works his way up the rodeo circuit with his best friend Tuff Hedeman (Stephen Baldwin), he meets Kelly Kyle (Cynthia Geary), a pretty barrel-race rider with whom he falls in love. Lane and Kelly marry, but Lane stubbornly refuses any help from Kelly's wealthy parents, forcing the young couple to live a hand-to-mouth existence, and while Lane's dedication to rodeo and its fans earns him a devoted following, it also keeps him away from Kelly and threatens to sink their relationship. Lane's hard work pays off when he wins the 1987 world championship, but the danger of the sport catches up with him two years later, when he dies as a result of an accident during competition. Country star Vince Gill appears onscreen with his band; keep an eye peeled for a brief appearance by Renee Zellweger, two years before her breakthrough role in Jerry Maguire. ~ Mark Deming, Rovi |
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8 Seconds (DVD) $11.82 Director John G. Avildsen's 8 SECONDS is the true story of the meteoric rise and all-too-brief career of Lane Frost, the youngest national champion bull rider in history. Luke Perry stars as Lane, a shy but popular young bareback rodeo rider whose gutsy determination catapults him to stardom. As Lane gains a winning reputation, he meets and falls in love with Kellie (Cynthia Geary), a spirited, beautiful young horsewoman. After a passionate courtship, the two young rodeo riders get married. Kellie looks after Lane and sacrifices her own freedom to be his devoted wife, but the pressures of Lane's career soon take their toll. Kellie is often left alone while Lane continues to ride the circuit with his longtime friends and competitors, including three-time rodeo champion Tuff Hedeman (Stephen Baldwin). Lane faces his ultimate challenge attempting to ride Red Rock, a dangerous bull known for fatally injuring his riders. Perry gives a fine performance in this gutsy and inspirational tale of a real-life rodeo hero, set to a swinging country-western soundtrack featuring Vince Gill and Brooks& Dunn, among others.DVD Features:Region 1Snap CaseFull Frame - 1.33Widescreen Anamorphic - 1.85Audio: Dolby Digital 5.1 Surround - English Dolby Digital Stereo Surround - EnglishAdditional Release Information: Trailers - 1.Theatrical TrailerInteractive Features: Interactive Menus Scene SelectionsText/Photo Galleries: Filmographies - 1.Cast& Crew |
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Bull Riding $60.54 Bull riding is a rodeo sport that involves a rider getting on a large bull and attempting to stay mounted for at least 8 seconds while the animal attempts to buck off the rider. The rider tightly fastens one hand to the bull with a long braided rope. It is a risky sport and has been called the most dangerous eight seconds in sports. Author: Miller, Frederic P./ Vandome, Agnes F./ McBrewster, John Binding Type: Paperback Number of Pages: 72 Publication Date: 2010/04/30 Language: English Dimensions: 5.98 x 9.01 x 0.17 inches |
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Gone in 60 Seconds (DVD) $25.85 Memphis Raines (Nicholas Cage) is a former car thief who is forced to come out of retirement when his younger brother, Kip (Giovanni Ribisi), is unable to deliver 50 expensive cars to dangerous smuggler Raymond Calitri (Christopher Eccleston). With his brother's life on the line, Memphis must enlist his old car-stealing partners for help in order to pull off the ultimate crime. His team includes his mentor, Otto (Robert Duvall), and an old flame (Angelina Jolie), plus a crew of other colorful characters. Once he gets them all together, Memphis has to do the impossible: organize the theft of 50 cars from all over Los Angeles in a single night, hampered by rivals, security systems, and the best efforts of the LAPD detective (Delroy Lindo) who is out to get him. GONE IN 60 SECONDS is a fun, action-packed movie featuring producer Jerry Bruckheimer's trademarks: a simple, heartfelt story, comedy, spectacular action, an excellent cast of stars and character actors, and an amazing car chase through the crowded streets of Los Angeles. This film is based on the cult classic 1974 movie of the same name, and it's a must-see for lovers of classic cars or action fans of any stripe. Dominic Sena, the director of KALIFORNIA, directed this fast-moving crime-adventure extravaganza.DVD Features:Region 1Keep CaseAnamorphic Widescreen - 2.35Audio: Dolby Digital 5.1 - English Dolby Digital 5.1 - FrenchAdditional Release Material: Interview - Jerry Bruckheimer - Producer Trailers - Original Theatrical Trailer Featurettes - 1. Behind the Scenes 2.Action Overload: Highlight Reel Music Video - The Cult Full Motion MenusInteractive Features: Scene Access Interactive Menus |
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In Seconds $5.84 No Synopsis Available |
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Motion $12.49 Motion |
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Derrick Rose Born To Be A Bull 2.0
Using Huckleberry Rakes for Picking Wild Huckleberries
So, you are about to foray into your favorite woodland, and enjoy another wild berry picking experience. Did you know - if the crop is moderate to heavy - you could pick four to ten times as many wild huckleberries in an hour, with an inexpensive tool known as a "huckleberry rake"?
How to get more berries in your bucket!
The actual berries on most species of huckleberry plants, grow ONLY on the current year's growth. So don't try to "bull" your way through the plant. Since the tines of a rake are usually metal, and quite sturdy, there is a high risk of damaging the wild plant if you try to rake more than absolutely necessary. Plus you will hang up, and get more leaves in your bucket, which are time consuming to pick out.
If the berries are really sparse, you are best to hand pick. However, the heavier the huckleberry crop, the more a rake increases yields above handpicking ... for obvious reasons!
Think small!
Huckleberry rakes work best with a small, manageable clump of berries. Short, quick, relaxed strokes, with just the right amount of berries and branchlets as a target, will net you the greatest yield. Until you get the hang of the wrist action, chase the smallest branchlets first, at the tips of the main branches. Slide the tines in just under the lowest huckleberry in a clump of maybe three to five berries, to start, then pull the tines up and through the loose bunch of wild huckleberries.
Your first swipe: "What just happened?"
Probably one of two things. Either you went too slow, and the huckleberries were pinched and squeezed, while your rake hung up a bit on the tiny branchlets. Or, you went too fast, and most of the berries flew OVER THE TOP of your rake, peppering the surrounding vegetation. Just like the rookie shrimp fishermen in the movie Forrest Gump, who only got old boots and a toilet seat in their first catch, your first raking efforts may net you more leaves than berries.
Not as easy as it looks, but you will get better, fast! If you are a fisherman or fisherwoman, you know what I'm talking about when I describe "setting the hook". You get the line semi-taut, and then at just the right moment, you feel a tug, give a little snap of the wrist and "fish on!". You can describe and explain how to do the wrist motion all you want, but until you experience the sensation a few dozen - or even a few hundred - times, you just won't know how to set the hook, and catch that lunker.
Round 2!
So, lets try again. As you slide the tines under the huckleberries, maybe six to ten berries this time, you want to bring up the rake against the slight "pressure" of the attached berries -- just like taking the slack out of a fish line. Note that if you try to take in too many branchlets with one swipe, the pressure turns your rake into a snarl among the twigs, reducing the effectiveness of your efforts, and increasing the risk of damage to the plant.
The instant you feel the slightest hint of back pressure, you will do a short, gentle "snap" of your wrist, upward or outward. Too slow, and you snag the branches and bruise the berries, taking in lots of leaves. (This happens because you are pulling the berries off, instead of popping them off.) Too fast, and more berries fly over the rake, than into the rake.
Practice, practice, practice!
Don't give up! At first you may feel like it would be faster to pick by hand. And it would be! But hang in there, things will change, and once they change, you will rack up gallon after gallon of huckleberries with a rake much faster than you ever thought possible. Once you get comfortable, each wrist movement will bring in up to a dozen (or more) beautiful purple berries in the blink of an eye.
Using both hands with a huckleberry rake:
As you get the hang of the basic stroke, and get a feel for how many branchlets and berries you can really rake in with one stroke, without snagging, you develop a sort of rhythm. Now it's time to add your other hand as a feeder to the huckleberry picking production line. In fact, you probably were already doing this by now, instinctively.
A huckleberry bush often displays berries across a span of ten or twenty inches (or more) around the top and outside of the plant, while your rake might only be six inches wide. You can really only rake a swath four inches wide or so, cleanly. But by using your hands in tandem, you can cover a lot more of the plant in less time.
Your free hand gathers branchlets together, between the thumb and fingers. You pinch the twigs; either together to make a larger clump of berries, or away from the main plant so they are easier to rake cleanly without snagging. And try to avoid as many leaves as possible.
Then in comes the rake. Swish. Repeat. (You will always get a little snagging, so don't worry about it, just work to avoid pulling off branches when you do hang up. Better to back out, and take a smaller stroke, than damage the plant.)
Feel the rhythm!
Again, you will get a rhythm going, this time with both hands. Some strokes will not need the second hand... a branchlet with nice berries is hanging out there, all by its lonesome, and a swish with the rake will do the trick. In "heavy" huckleberry bushes your second hand will get a workout.
An experienced "raker" is a joy to behold, as he or she works around the plant, no wasted motion, short and easy wrist movements, gleaning most of the plant, while standing in one spot. Maybe a short step to the side of the wild huckleberry plants to change the angle, and get any remaining berries. Then he or she works right on through the patch in a semi-systematic fashion, with short interruptions where a stray berry gets popped into a mouth, or the picker takes a swat at an insect.
A final plea.
NOTHING damages a wild huckleberry plant more than clipping or breaking off a branch, or even the entire plant, which I have seen people do. Wild huckleberries take 5 to 15 years to reach a productive stage, and when you cut them back - even though it might make picking easier - something else is likely to grow back where that huckleberry plant once stood.
Huckleberry rakes are the best tactic for getting four, six, even ten times as many berries in your bucket in an hour, without damaging the wild resource. But even a rake, just like a hammer or screwdriver, can be misused, and cause damage. Operate your huckleberry rake ethically, and all of us will enjoy our wild huckleberry resource for many generations to come!
(C) 2008 - Lee Landers
About the Author
Lee Landers is an avid huckleberry picker from Idaho who also enjoys cooking and baking with wild huckleberries! For a good source of inexpensive, but effective, huckleberry rakes, check out: Huckleberry Rakes

