Check of my answers for projectile motion please

AI Thread Summary
The discussion revolves around a projectile motion problem involving a pilot dropping a bomb from a height of 98m while traveling at 45m/s. The calculations for the time it takes for the bomb to hit the ground are confirmed as approximately 4.47 seconds, and the horizontal distance for the bomb release is correctly calculated at 201m. However, the initial margin of error calculation is incorrect; the pilot can only afford a delay of about 0.33 seconds to still hit the 15m target, not 3 seconds. This correction emphasizes the importance of understanding the relationship between time, speed, and distance in projectile motion. The final conclusion is that the pilot must release the bomb within a much shorter time frame to ensure accuracy.
ghostbuster25
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Homework Statement


ok the question is as follows. A pilot flying at 45m/s is trying to bomb a target on the ground 15m in diameter. he is at a height of 98m
(a)how long does it tke for the bomb to hit the ground?
(b)at what horizontal distance does the pilot have to be to release the bomb?
(c)what margin of error does he have in hitting the target?

Just want a check on my solutions
(a)
t=\sqrt{}2h/g will give me \sqrt{}2*98/9.8 = 4.47secs

(b)
R=u\sqrt{}2h/g will give me 45m/s\sqrt{}2*98/9.8 = 201m

(c) 45m/s / 15 = 3 seconds of error

seems resonable to me!?

If I am wrong please show me where

Thanks
 
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Parts a and b are OK. Your answer to part c does not look right. Are you saying that he can release the bomb 3 seconds late and still hit the target? In three seconds he travels 135 m and that's way too much. What you need is the time required to travel the length of the target, i.e. 15 m. If he travels farther than that, he misses.
 
ah yer that makes more sense, 15m/45m/s = 0.3333333 s
 
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