JEE Main Important Physics formulas
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Imagine standing at the edge of a runway, your heart pounding with excitement, and your friends cheering you on. In just a few moments, you are to embark on a journey that combines speed, power, and the exhilarating world of physics – welcome to acing the long jump!
As a student-athlete, you have the remarkable opportunity to unlock the secrets behind this mesmerising track and field event. Beyond the bounds of raw talent, lies a hidden world of physics principles that can elevate your performance to new heights.
We will unravel the physics behind the long jump, revealing the science behind those awe-inspiring leaps, and providing you with the knowledge to leap farther, soar higher, and surpass your own limits.
The long jump takeoff phase is important because it is where the athlete converts their sprinting energy into vertical lift and horizontal projection. Understanding the physics of this phase is critical for reaching great distances in the event.
The long jump starts with a strong race down the runway. The speed reached during this period has a direct impact on the takeoff velocity. The greater the athlete's takeoff velocity, the faster they can run. Takeoff velocity plays a role because it affects the initial velocity at which the athlete departs the ground, which influences the following trajectory of the leap. Acceleration and speed are important aspects in gaining momentum and allowing for a more forceful takeoff.
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The angle at which the athlete launches into the air is known as the takeoff angle. According to research and experience, an appropriate launch angle of roughly 20-30 degrees above the horizontal is best for maximising distance in the long jump. The athlete finds a balance between vertical lift and horizontal projection at this angle, which adds to a greater jump distance. A takeoff angle that is too close to horizontal will result in insufficient lift, whereas a sharp angle will result in less horizontal distance.
Projectile motion is a fundamental concept in physics that explains the motion of an object projected into the air by gravity alone, with no other forces acting on it. In the instance of the long jump, the athlete becomes a projectile as they take off from the runway. Their movement is a combination of horizontal and vertical motions.
Where:
Vx: The horizontal velocity of the athlete's centre of mass at takeoff.
Vy: The vertical velocity of the athlete's centre of mass at takeoff.
h: The vertical displacement of the athlete's centre of mass between takeoff and landing.
R: The horizontal distance covered by the athlete during the jump.
The horizontal and vertical components of velocity are independent of each other, which is one of the fundamental principles of projectile motion. This means that the horizontal velocity is constant throughout the flight, however, the vertical velocity is entirely changed by gravity. The initial horizontal velocity of a long jumper is dictated by its takeoff speed and angle. Because there are no horizontal forces acting on the athlete once in the air (other than air resistance), the horizontal velocity remains constant. Meanwhile, due to the opposing force of gravity, the vertical velocity decreases, slowing the athlete's ascent until they reach the highest point of the jump.
Because horizontal and vertical velocities are independent, athletes can concentrate on maximising their horizontal velocity during the takeoff phase, knowing that it will remain constant during the jump.
After reaching the top, gravity pulls the athlete back down towards the ground. The vertical velocity increases in the opposite direction of the first jump as they drop until they reach the sandpit. Long jumpers must manage gravity's influence because it influences hang time, height, and distance achieved during the jump. Athletes must carefully time their takeoff and landing techniques to optimise the trajectory of their jump and ensure a successful landing.
In the long jump, athletes employ two primary techniques during their flight in the air: the hang technique and the hitch-kick technique. The hang technique and the hitch-kick technique. The hang method involves extending the legs forward and keeping a straight body posture in order to reduce air resistance and maximise horizontal projection. The hitch-kick technique, on the other hand, demands athletes to tuck their legs up towards their chest before extending them again, resulting in higher vertical lift and forward motion. The technique used is determined by an athlete's personal style, strengths, experience, coaching, and competitive strategy. Long jumpers can unlock their potential for amazing distances and maximise their performance in this intriguing track and field event by studying and mastering these tactics.
Aerodynamics is important in both the approach and takeoff stages of the long jump. As the athlete sprints down the runway, they encounter air resistance, which acts as an opposing force. It is critical to overcome air resistance in order to maintain higher speeds and maximise takeoff velocity. The athlete's body works as a projectile during the takeoff phase, and any non-streamlined positions or movements might increase air resistance, limiting the jump's effectiveness.
To minimise air resistance during the long jump, athletes can employ specific techniques:
>> Streamlined Body Positions: It is critical to keep the body in a streamlined position. This includes reducing any unnecessary movements that could cause additional drag. To minimise resistance, athletes are encouraged to maintain a straight body posture with arms near to the body during the jump.
>> "C" Position during Takeoff: Adopting a "C" shape with the body as the athlete departs the ground during takeoff can be useful. Pulling the knees towards the chest while maintaining the upper body slightly rounded is how this is done. The "C" position decreases the surface area of the body exposed to air, lowering air resistance and allowing for more effective flying through the air.
In the long jump, balancing vertical lift and horizontal projection is critical since it directly affects the overall jump distance. Finding the correct balance between the two components is critical for maximising performance and distance.
Athletes that focus primarily on vertical lift might achieve outstanding hang time, but their horizontal distance covered may suffer. Excessive horizontal projection, on the other hand, may result in a longer jump distance, but the athlete may not stay in the air long enough to optimise their landing position.
>> Excessive Lift: If an athlete generates too much vertical lift but not enough horizontal projection, they may reach a higher apex but not travel as far horizontally. As a result, the athlete may land closer to the takeoff point, resulting in a lower jump distance because the athlete does not use the entire length of the sandpit.
>> Excessive Forward Motion: If an athlete focuses too much on horizontal projection, they may "over-jump" and land too far forward in the sandpit. This can result in a foul jump, in which the athlete's foot crosses the takeoff board, invalidating the attempt.
A solid landing technique in the long jump is essential for a number of reasons. For starters, it aids in the athlete's safety. Long jumpers reach enormous horizontal speeds and heights during their flight, necessitating a controlled and safe landing to avoid injuries.
Second, a perfect landing technique allows the athlete to translate their leap momentum into a smooth transition into the sandpit. A well-executed landing helps the athlete to properly employ their forward momentum, optimising the leap distance and achieving the greatest potential outcome.
Finally, the landing method influences the judge's opinion of the validity of the jump. A foul occurs when an athlete's foot crosses the takeoff board or hits the landing area's boundary, disqualifying the jump.
To avoid backward or forward falls, proper landing technique is essential. To minimise injuries and assure valid jumps, athletes must maintain balance and control. A backward fall can shorten the distance between jumps, whereas a forward fall can result in fouls if the foot strikes the sand too soon or extends beyond the landing area's line.
Hope you now have a deeper appreciation for physics that governs the long jump, guiding you to find the optimal balance between lift and projection, execute precise landing techniques, and harness aerodynamics for improved performance and remarkable distances. You are now equipped with the knowledge to excel and soar to new heights in this exhilarating track and field event.
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