Football/receiver projectile motion

Click For Summary
SUMMARY

The discussion centers on a physics problem involving projectile motion, specifically the trajectory of a football thrown at an initial speed of 20.0 m/s at a 30.0° angle. To successfully catch the football, the receiver must run with a constant speed that accounts for both the horizontal distance of 20.0 m and the time it takes for the football to reach that distance. The x-component of the football's velocity does not equal the receiver's required speed because the receiver must also account for the vertical motion of the football, which affects the timing of the catch.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of vector components in physics
  • Familiarity with kinematic equations
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the kinematic equations for projectile motion
  • Learn how to decompose vectors into their components
  • Explore the concept of relative motion in physics
  • Investigate the effects of gravity on projectile trajectories
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for practical examples of these concepts in action.

Arooj
Messages
39
Reaction score
0

Homework Statement


A football is thrown toward a receiver with an initial speed of 20.0 m/s at an angle of 30.0o above the horizontal. At that instant, the receiver is 20.0 m from the quaterback. In what direction and with what constant speed should the receiver run in order to catch the football at the level at which it was thrown? Why is the x-component velocity of the football's path not the speed at which the receiver should run?

Homework Equations





The Attempt at a Solution


I understand how to do this problem, but I don't understand why the speed at which the receiver should run to catch the football at the level it is thrown is not equal to the x-component of the football; wouldn't both velocities have to be equal for the receiver to make the catch?
 
Physics news on Phys.org
Apparently the receiver was standing still when the ball was thrown.
 

Similar threads

Projectile Motion of football receiver
  • · Replies 9 ·
Replies
9
Views
5K
Velocity of a football with and without drag
  • · Replies 7 ·
Replies
7
Views
2K
A ball is thrown w/initial speed vi at an angle 𝜃i with the horizontal
  • · Replies 5 ·
Replies
5
Views
2K
Find the height of a lamp based on the velocities of projectiles
  • · Replies 40 ·
2
Replies
40
Views
3K
Projectile Motion Experiment: Results Too High?
  • · Replies 2 ·
Replies
2
Views
2K
A quarterback throws a football to a stationary receiver
  • · Replies 5 ·
Replies
5
Views
5K
Projectile Motion: Football Thrown at Moving Receiver
  • · Replies 2 ·
Replies
2
Views
3K
Circular motion to projectile motion
  • · Replies 18 ·
Replies
18
Views
2K
Projectile Motion - Finding Ini. Vel. using Range and Angle
  • · Replies 3 ·
Replies
3
Views
5K
Projectile Motion football pass
  • · Replies 3 ·
Replies
3
Views
4K