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The high jump is a powerful example of physics in action because success depends on speed, force, rotation, and body position. An athlete must turn horizontal running speed into upward motion in a fraction of a second. The Fosbury Flop, where the jumper goes over the bar backward, is effective because it lets the body bend around the bar.

This makes the event a great way to see how mechanics, biology, and training data work together in sports science.

During the approach, the jumper builds kinetic energy, then plants one foot to create a large ground reaction force. That force changes the jumper's momentum and sends the center of mass upward along a curved path. In the air, the athlete cannot change the path of the center of mass, but can rotate and arch the body so the hips, shoulders, and legs clear the bar one after another.

Coaches use video, timing, jump height, and force data to improve takeoff angle, body control, and consistency.

Key Facts

  • Kinetic energy during the run-up is KE = 1/2 mv^2.
  • Impulse changes momentum: J = FΔt = Δp.
  • Vertical launch speed needed to rise height h is v_y = sqrt(2gh).
  • Projectile motion after takeoff follows y = y0 + v_y t - 1/2 gt^2.
  • The center of mass can pass below the bar while parts of the body clear it in the Fosbury Flop.
  • A strong takeoff uses both speed and angle, but too much vertical jump can reduce useful approach speed.

Vocabulary

Center of mass
The balance point of the body where its mass can be treated as concentrated for motion analysis.
Ground reaction force
The force the ground pushes back on the athlete when the takeoff foot presses into the track.
Impulse
The product of force and contact time that changes an object's momentum.
Projectile motion
The curved motion of an object that moves through the air under the influence of gravity.
Fosbury Flop
A high jump technique in which the athlete clears the bar backward with an arched body position.

Common Mistakes to Avoid

  • Assuming the jumper can change their center of mass path in midair, which is wrong because after takeoff gravity is the main external force.
  • Thinking the highest body part determines the jump height, which is wrong because bar clearance depends on the motion of the whole body and the center of mass.
  • Using horizontal speed only to predict jump height, which is wrong because only the vertical component of velocity determines how high the center of mass rises.
  • Ignoring takeoff time when thinking about force, which is wrong because impulse depends on both force and the time the foot stays in contact with the ground.

Practice Questions

  1. 1 A jumper has a mass of 60 kg and runs at 7.0 m/s before takeoff. What is the jumper's kinetic energy during the approach?
  2. 2 A jumper leaves the ground with a vertical velocity of 4.5 m/s. Using g = 9.8 m/s^2, how much higher does the center of mass rise after takeoff?
  3. 3 Explain why the Fosbury Flop can help a jumper clear a bar even if the jumper's center of mass does not rise above the bar.