Has the Ball Passed Its Highest Point Based on Velocity Vector?

Click For Summary
SUMMARY

The discussion centers on a physics problem from "Fundamentals of Physics 8th Edition Extended, Chapter 4, Checkpoint 3," regarding the velocity vector of a fly ball represented as v->=25i-4.9j m/s. The participant questions whether the ball has passed its highest point, interpreting the negative j component (-4.9j) as an indication of downward motion. The consensus among forum members is that the ball has not yet reached its maximum height, contradicting the participant's belief that the negative component signifies it is falling.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with vector notation in physics
  • Knowledge of velocity components in two dimensions
  • Basic concepts of kinematics
NEXT STEPS
  • Study the concept of maximum height in projectile motion
  • Learn about the significance of velocity vectors in physics
  • Explore kinematic equations related to vertical motion
  • Review examples of projectile motion problems in "Fundamentals of Physics" textbooks
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone interested in understanding the dynamics of velocity vectors in two-dimensional motion.

ProRip
Messages
1
Reaction score
0
This is a question from "Fundamentals of Physics 8th Edition Extended, Chapter 4, Checkpoint3."

"At a certain instant, a fly ball has velocity v->=25i-4.9j (the x-axis is horizontal, the y-axis is upward, and the v-> is in metres per second). Has the ball passed its highest point?

The answer in the book says it hasn't...?

But I believe it has as -4.9j means the ball is now falling towards the ground therefore it has past its max height within the projectile motion.

Am I incorrect, or is the book wrong??, If I'm incorrect can someone point out why?
 
Physics news on Phys.org
Welcome to PF!

Hi ProRip ! Welcome to PF! :smile:
ProRip said:
"At a certain instant, a fly ball has velocity v->=25i-4.9j (the x-axis is horizontal, the y-axis is upward, and the v-> is in metres per second). Has the ball passed its highest point?

The answer in the book says it hasn't...?

But I believe it has as -4.9j means the ball is now falling towards the ground therefore it has past its max height within the projectile motion.

Yup … minus j means it's moving downward …

looks as if the book is wrong! :redface:
 

Similar threads

Solving for Initial Velocity & Max Height of Thrown Ball
  • · Replies 9 ·
Replies
9
Views
2K
Ball thrown up, find max height - Given one velocity in midflight
  • · Replies 4 ·
Replies
4
Views
5K
Solving The Flight of a Ball: Examining Velocity & Time
  • · Replies 2 ·
Replies
2
Views
2K
Angular Momentum of a Ball at Half Height
  • · Replies 9 ·
Replies
9
Views
5K
Height of a projectile at two points?
  • · Replies 5 ·
Replies
5
Views
2K
"Vomit Comet" SpaceCraft (0)-V & H at Max Height
  • · Replies 11 ·
Replies
11
Views
2K
How does the kinetic energy of a swinging ball change with respect to height?
  • · Replies 21 ·
Replies
21
Views
3K
Conservation of Energy - Max height WITH Air resistance
  • · Replies 4 ·
Replies
4
Views
4K
How to Apply Derivatives in Physics Problems?
  • · Replies 9 ·
Replies
9
Views
2K
Projectile Motion Soccer Ball Problem
  • · Replies 22 ·
Replies
22
Views
5K