Hard projectile motion problem

Click For Summary
SUMMARY

The discussion centers on calculating the distance of a standing broad jump, where the leg extension is 0.600 m and the acceleration during takeoff is 1.25 times the acceleration due to gravity (g). The conversation explores the impact of arm movement on jump distance and the orientation of the jumper during flight. Key assumptions include the direction of acceleration and the necessity of landing position for maximum range. The analysis emphasizes that while arm movement can influence the center of mass, it does not guarantee increased distance unless executed correctly.

PREREQUISITES
  • Understanding of projectile motion principles
  • Basic knowledge of kinematics and acceleration
  • Familiarity with the concept of center of mass
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Research the equations of motion for projectile trajectories
  • Learn about the effects of body orientation on jump distance
  • Explore techniques for optimizing takeoff in jumping sports
  • Study the role of arm movement in enhancing athletic performance
USEFUL FOR

Athletes, coaches, physical educators, and biomechanics researchers interested in optimizing jumping techniques and understanding the physics of projectile motion.

Sciencespy
Messages
1
Reaction score
0
In the standing broad jump, one squats and then pushes off with the legs to see how far one can jump. Suppose the extension of the legs from the crouch position is 0.600 m and the acceleration achieved from this position is 1.25 times the acceleration due to gravity, g . How far can they jump? State your assumptions. (Increased range can be achieved by swinging the arms in the direction of the jump.)
 
Physics news on Phys.org
Welcome to PF.
Is this homework?

Does the 1.25g acceleration take place vertically or maybe at 45°?
Arms forward on take-off will advance the centre of mass, but not necessarily give an increased distance unless they end up behind.
Swinging the arms in circles can change orientation while in the air. If the jumper was tall and landed flat on their back, lying across their track, they might go further. Do they have to land on their feet?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
19
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 46 ·
2
Replies
46
Views
10K
Replies
19
Views
3K
Replies
15
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
18
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K