Projectile Motion Long Jump Help

Click For Summary
SUMMARY

The discussion focuses on solving a projectile motion problem related to long jump performance. The athlete takes off at a 30-degree angle and travels 7.80 meters. To determine the takeoff speed, the equations of motion are applied, specifically using the range formula R = (u²sin(2θ))/g. The user struggles with calculating the initial velocity and time of flight, indicating a need for clarity in applying projectile motion principles.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions in physics
  • Basic grasp of gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Calculate the initial velocity using the formula R = (u²sin(2θ))/g
  • Explore the effects of varying launch angles on projectile distance
  • Learn how to derive time of flight using t = 2usin(θ)/g
  • Investigate the impact of increasing takeoff speed on jump distance
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as athletes and coaches interested in optimizing long jump performance.

singlish
Messages
1
Reaction score
0
An athlete executing a long jump leaves the ground at a 30 degree angle and travels 7.80m.
(a). What was the takeoff speed?
(b). If this speed were increased by just 5.0 percent, how much longer would the jump be?

I'm having some troubles with part a. I've been struggling to comprehend projectile motion and I've been trying to find T using different methods but none of them work. I eventually came up with 9s using cosine, but I can't find initial velocity now. Any advice or tips would be appreciated.
 
Physics news on Phys.org
x=(ucos30)t
t=2usin30/g
R=(u^2sin(2*30))/g
 
guys.. can you please help me with this simple problem my instructors gave us for home work... its about projectile motion..

what is the time if the displacement is at 21 meters having a 35degrees angle with the original velocity of 100m/s.
 

Similar threads

What is the Ideal Angle for a Frog's Jump to Reach 3 Meters Horizontally?
  • · Replies 19 ·
Replies
19
Views
3K
Projectile Motion with Pulley System
  • · Replies 3 ·
Replies
3
Views
2K
Finding two variables in projectile motion
  • · Replies 23 ·
Replies
23
Views
4K
Calculating angle of projectile to hit target
  • · Replies 2 ·
Replies
2
Views
3K
An athlete executing a long jump leaves the ground at a 29.5
  • · Replies 4 ·
Replies
4
Views
2K
Air Resistance and Projectile Motion Assignment Task
  • · Replies 4 ·
Replies
4
Views
3K
An olympic long jumper question
  • · Replies 3 ·
Replies
3
Views
1K
Projectile Motion Problem #2: Calculating Time Spent in Upper Half of Jump
  • · Replies 7 ·
Replies
7
Views
3K
Solving a Long Jump Problem: Find Takeoff Speed & Increase Jump Distance
  • · Replies 5 ·
Replies
5
Views
2K
Help with projectile motion problem
  • · Replies 7 ·
Replies
7
Views
5K