Intitial velocity from given angle and distance

  • Thread starter Thread starter morganm725
  • Start date Start date
  • Tags Tags
    Angle Velocity
Click For Summary
SUMMARY

The discussion focuses on calculating the initial velocity of an athlete executing a long jump at a 30° angle, covering a horizontal distance of 8.30 meters. The kinematic equations and trigonometric functions are essential for solving this problem. The participant expresses confusion regarding the height of the athlete and the time of flight, indicating that height is not provided and can be ignored for this calculation. The solution requires applying projectile motion principles to derive the takeoff speed.

PREREQUISITES
  • Kinematic equations for projectile motion
  • Trigonometric functions, specifically sine and cosine
  • Understanding of projectile motion concepts
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the range formula in projectile motion
  • Learn how to apply the kinematic equations to solve for initial velocity
  • Explore the impact of launch angle on projectile distance
  • Investigate the effects of air resistance on projectile motion
USEFUL FOR

Students in physics, athletes analyzing performance metrics, and educators teaching concepts of projectile motion in kinematics.

morganm725
Messages
2
Reaction score
0
1. An athlete executing a long jump leaves the ground at a 30° angle and travels 8.30 m.
What was the takeoff speed?

Homework Equations


Just the kinematic equations and trig functions.


The Attempt at a Solution


I don't even know where to begin solving the problem. I've tried using half the distance as a measurement but that wasn't correct.
 
Physics news on Phys.org
whats the height of the athete as a function of time after he takes of?

at what value of t does this height become zero again?

how much has the athlete traveled in that time.

(of course an athlete is a point mass in this kind of problem)
 
there is no height given, so I assume we ignore the height. The athlete has traveled 8.30m (no time given) and we ignore air resistance and his height.
 

Similar threads

How do you find the initial velocity of a projectile given angle/distance?
  • · Replies 3 ·
Replies
3
Views
2K
Achieving Record Distances in the Hammer Throw
  • · Replies 1 ·
Replies
1
Views
4K
Write an expression w1 of the angle shown in the first picture
  • · Replies 4 ·
Replies
4
Views
2K
An athlete executing a long jump leaves the ground at a 29.5
  • · Replies 4 ·
Replies
4
Views
2K
I need opinions on a Projectile Motion problem that I made up
  • · Replies 11 ·
Replies
11
Views
2K
Man pulling a boat along the water with a rope (from above on a steep bank)
  • · Replies 31 ·
2
Replies
31
Views
2K
Find Initial Velocity from Angle and Horizontal Distance
  • · Replies 1 ·
Replies
1
Views
9K
Find Initial Velocity Given Height, Range, and Initial Angle
  • · Replies 4 ·
Replies
4
Views
3K
Need help with velocity, acceleration, time and distance
  • · Replies 11 ·
Replies
11
Views
3K
Exciting distance problem Only 2 variables are given.
  • · Replies 6 ·
Replies
6
Views
11K