How can I solve this basic velocity problem involving a thrown ball?

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SUMMARY

This discussion addresses a physics problem involving projectile motion, specifically the trajectory of a ball thrown from a height of 12.0 meters. The ball takes 1.25 seconds to reach the ground, prompting calculations for its initial vertical velocity, horizontal velocity, and overall launch velocity. Key formulas include the kinematic equations for vertical motion and horizontal displacement, which are essential for solving parts (a), (b), and (c) of the problem.

PREREQUISITES
  • Understanding of kinematic equations for projectile motion
  • Knowledge of vertical and horizontal velocity components
  • Familiarity with basic physics concepts such as acceleration due to gravity
  • Ability to perform calculations involving time, distance, and velocity
NEXT STEPS
  • Study the kinematic equations for vertical motion in detail
  • Learn how to decompose velocity into horizontal and vertical components
  • Explore examples of projectile motion problems with varying initial heights
  • Investigate the effects of air resistance on projectile trajectories
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Students studying physics, educators teaching projectile motion, and anyone interested in solving real-world problems involving motion and velocity.

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Homework Statement



A ball is thrown from a height of 12.0 m above the ground level. If it takes 1.25 s to reach the ground:

a) Calculate its starting velocity
b) If the ball lands 40.0 m horizontally out from the throwing point, what horizontal velocity did it have?
c) Determine the speed and direction of the launch velocity
 
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