Projectile motion sand bag drop

AI Thread Summary
The discussion centers on the dynamics of a sandbag dropped from a hot-air balloon, highlighting the difference between vertical and horizontal motion. Vertical acceleration is consistently 9.8 m/s², leading to an increase in vertical velocity. The horizontal velocity, however, remains constant at 12 m/s, as stated in the book, because it assumes no air resistance. The misconception arises from the expectation that horizontal velocity should decrease, but in a vacuum, it remains unchanged. This illustrates the principles of projectile motion where horizontal and vertical motions are independent of each other.
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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