How Accurate Are These Projectile Motion Calculations?

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SUMMARY

This discussion focuses on the calculations related to projectile motion, specifically involving a bullet fired horizontally at 250 m/s and a ball thrown horizontally from a height. The time taken for the bullet to strike a target 100 meters away is calculated as 0.4 seconds. The downward component of the bullet's velocity upon impact is determined to be 3.92 m/s. Additionally, it is confirmed that both the horizontally thrown ball and the dropped ball hit the ground simultaneously due to the same initial vertical velocity and acceleration.

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I have a few questions about projectiles that I just want to verify that my calculations and working out is correct.

A bullet is fired horizontally from a rifle at 250 m s -1. after traveling 100m the bullet strikes a target

Calculate the time take for the bullet to strike the target
Calculate the downward component of velocity of the bullet when it strikes the target




S= ut



For the first one I did
100 = 250t
t =0.4 s

And the second
Since the initial vertical velocity is 0
u = 0
t = 0.4
a = 9.8

v = u + at
v = 0 + 9.8 x 0.4
v = 3.92 m s -1


Another question is

Simultaneously a ball is thrown horizontally from a height and another is dropped from rest at the same height , which ball hits the ground first?

My answer.

Both balls hit the ground at the same time since the initial vertical velocity of both balls is 0 they both free fall with the same acceleration.


Are these answers right because I do not have the answers to them
 
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