Physics/mechanics, forces accelaration

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SUMMARY

A ball thrown horizontally from a height of 18 meters at a speed of 5.0 m/s takes approximately 1.92 seconds to reach the ground. The calculation utilizes the equation S = ut + 1/2at², where the initial vertical velocity (u) is 0 m/s and the acceleration (a) is 9.8 m/s². The horizontal motion does not affect the time taken to fall, confirming that the vertical and horizontal components of motion are independent. The result of 1.92 seconds is sufficiently close to 2 seconds for practical purposes.

PREREQUISITES
  • Understanding of kinematic equations, specifically S = ut + 1/2at²
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Familiarity with horizontal and vertical motion independence
  • Basic algebra for solving equations
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  • Learn how to calculate horizontal distance traveled using initial velocity
  • Investigate the effects of air resistance on projectile motion
  • Study advanced kinematic equations for varying acceleration scenarios
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Homework Statement



A ball is thrown horizontal out of a window 18m above the ground. it is thrown horizontally at 5.0ms. show that it takes about 2 seconds to drop.

Homework Equations



S=ut+1/2at^2

The Attempt at a Solution



u=0
a=9.8
s=18
18=0t+1/2*9.8t^2
36=9.8t^2
sqrt3.6734=t
t=1.92

is this near enough too 2 to be the right answer or have i made a mistake some where i was not sure if the horizontal force would have any effect on the time taken to drop. Any help would be much appreciated.
 
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That's perfect. 1.92 is certainly "about 2 seconds" in anyone's book!
The horizontal component of the ball's motion is independent of the vertical, gravitational, component; so your method is fine.
(That horizontal velocity of 5m/s doesn't come into this calculation, but is probably needed for further calculations, such as how far away from the window does the ball land?)

Oh, and welcome to Physics Forums!
 
Thanks i just needed conformation because i got to the answer partially using trial and error to find the right method and I'm impressed you managed to guess the exact next question on the paper.
 

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