Projectile motion sand bag drop

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SUMMARY

The discussion centers on the principles of projectile motion, specifically regarding the drop of a sandbag from a hot-air balloon. It is established that the vertical acceleration due to gravity is 9.8 m/s², resulting in an increasing vertical velocity in an arithmetic progression (9.8, 19.6 m/s). The horizontal velocity of the sandbag remains constant at 12 m/s, equal to that of the hot-air balloon, because the effects of air resistance are ignored in this scenario. This constancy of horizontal velocity is a fundamental aspect of projectile motion in a vacuum.

PREREQUISITES
  • Understanding of basic physics concepts, particularly projectile motion.
  • Familiarity with the equations of motion under constant acceleration.
  • Knowledge of gravitational acceleration (9.8 m/s²).
  • Awareness of the effects of air resistance on motion.
NEXT STEPS
  • Study the effects of air resistance on projectile motion.
  • Learn about the equations governing horizontal and vertical motion in physics.
  • Explore simulations of projectile motion using tools like PhET Interactive Simulations.
  • Investigate real-world applications of projectile motion in sports and engineering.
USEFUL FOR

Students of physics, educators teaching projectile motion concepts, and anyone interested in understanding the dynamics of objects in free fall.

anandzoom
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sand bag is dropped...i can understand that vertical acceleration is 9.8m/s^2...so vertical velocity increases in a.p (9.8, 19.6... m/s)...but this book says horizontal velocity of sandbag is constant and same as that of hot-air balloon (i.e., 12m/s)...I think the horizontal velocity should decrease gradually...but it doesn't...why?
 

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anandzoom said:
sand bag is dropped...i can understand that vertical acceleration is 9.8m/s^2...so vertical velocity increases in a.p (9.8, 19.6... m/s)...but this book says horizontal velocity of sandbag is constant and same as that of hot-air balloon (i.e., 12m/s)...I think the horizontal velocity should decrease gradually...but it doesn't...why?
The book is ignoring air resistance. Can you see that in the absence of air resistance, horizontal velocity must be constant?
 
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