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Name: A soldier fires a gun horizontally at a target; the bullet has a veloc
Uploaded: 2024-03-20T06:57:47.000Z
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Description: A soldier fires a gun horizontally at a target; the bullet has a velocity of 750ft/s. how much does the bullet drop in flight if the target is 50 yd and 150 yd away?

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter2: Motion

Section2.5: Projectile Motion

Problem 1PQ: Neglecting air resistance, why would a ball projected horizontally and another ball dropped at the...

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A soldier fires a gun horizontally at a target; the bullet has a velocity of 750ft/s. how much does the bullet drop in flight if the target is 50 yd and 150 yd away?

Expert Solution

Step 1 - 50 yard

Given :

Velocity (v) = 750 ft/sec

Assuming that the drag forces are totally insignificant, the only force acting upon the bullet after it is fired would be due to gravity.

Thus it is safe to say that the bullet drop (h) , can be given as :

h = $\frac{1}{2} . g t^{2} (w h e r e g = a c c e l e r a t i o n d u e t o g r a v i t y; a n d t = t i m e t a k e n)$

$T i m e t a k e n = \frac{D i s \tan c e}{S p e e d}$

$S u b s t i t u t i n g t h e v a l u e o f t i m e, i n a b o v e f o r m u l a : h = \frac{1}{2} . g . (\frac{S}{v}) I n f i r s t c a s e; S = 50 y a r d s = 150 f e e t; g = 32.2 f t / s^{2} S u b s t i t u t i n g t h e v a l u e s : h = \frac{1}{2} * 32.2 * (\frac{150}{750}) h = 3.22 f e e t o r 1.0733 y a r d s i s t h e b u l l e t d r o p f o r 50 y a r d s$

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