Ball thrown up with an initial speed of 27.0 m/s

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SUMMARY

The discussion centers on the physics of a ball thrown upward with an initial speed of 27.0 m/s. Key conclusions include that the ball's potential energy (PE) is not constant, the velocity and acceleration vectors align after approximately 7.3 seconds, and the acceleration due to gravity remains constant throughout the motion. The maximum height is reached around 7.3 seconds, while the kinetic energy (KE) increases during the initial phase of the throw. Participants agree on the constancy of acceleration but debate the timing of maximum height and the interpretation of energy changes.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (9.81 m/s²)
  • Familiarity with concepts of potential energy (PE) and kinetic energy (KE)
  • Basic proficiency in interpreting velocity and acceleration vectors
NEXT STEPS
  • Study the kinematic equations for uniformly accelerated motion
  • Learn about energy conservation principles in projectile motion
  • Explore the effects of air resistance on projectile trajectories
  • Investigate the mathematical modeling of projectile motion using calculus
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of projectile motion and energy transformations in physical systems.

evan b
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Homework Statement


A) The ball's PE is a constant.
B) The velocity vector and the acceleration vector are in the same direction after t= 7.3s.
C) The acceleration is constant.
D) The acceleration is 0 near t= 7.3s.
E) Maximum height is reached at about t=7.3s.
F) The ball's KE increases during the first second.

The Attempt at a Solution


I am pretty sure of the following. Somewhere i am wrong.
A is false
B is true (given once it hits 7.3, gravity is negative(acceleration) and the direction is necative
C is true because accel is gravity and that is always constant.
D is false because if the gravity is constant than it wouldn't be zero
E is true because it starts coming down after 7.3 s
F is true because KE is zero when the ball is in hand but when he releases it, it gains
 

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I can't see the image until it's approved, but this is my input

A - I would agree that this is false.
B - mathematically I would agree, however I would say that the ball has long since hit the ground at this point. (possibly numbers are wrong)
C - I would agree that this is true.
D - I agree that this is false.
E - I would disagree here, how did you come to this conclusion? It looks more like 2.75 seconds to me. Unless you've stated some of the numbers wrong/I've misinterpreted them.
F - kinetic energy of course being: .5mv^2 Think about which way the ball is accelerating, think of if v is increasing or decreasing.

EDIT: latex isn't working for me
 

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