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 Kinematics and Dynamics Kinematics and Dynamics Physics Help Forum Apr 5th 2009, 07:10 PM #1 Senior Member   Join Date: Mar 2009 Posts: 129 Vertical/Horizontal distance problem "A balloon is rising at a vertical velocity of 4.9m/s. At the same time, it is drifting horizontally with a velocity of 1.6m/s. If a bottle is released from the balloon when it is 9.8m above the ground, determine (a) the time it takes for the bottle to reach the ground, and (b) the horizontal displacement of the bottle from the balloon." Here's what I attempted: /\d vertical = -4.9 m/s^2*(/\t) -9.8m = -4.9 m/s^2*(/\t) 2s^2 = (/\t)^2 /\t = 1.41s /\d horizontal = 1.6m/s (1.41s) /\d horizontal = 2.26m Here are the answers from the back of the book: a) 2s b) 0 PLEASE HELP!!! Thanks in advance! Last edited by s3a; Apr 5th 2009 at 07:18 PM.   Apr 8th 2009, 06:30 PM   #2
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 "A balloon is rising at a vertical velocity of 4.9m/s. At the same time, it is drifting horizontally with a velocity of 1.6m/s. If a bottle is released from the balloon when it is 9.8m above the ground, determine (a) the time it takes for the bottle to reach the ground, and (b) the horizontal displacement of the bottle from the balloon." Here's what I attempted: /\d vertical = -4.9 m/s^2*(/\t) -9.8m = -4.9 m/s^2*(/\t) 2s^2 = (/\t)^2 /\t = 1.41s /\d horizontal = 1.6m/s (1.41s) /\d horizontal = 2.26m Here are the answers from the back of the book: a) 2s b) 0 PLEASE HELP!!! Thanks in advance!
$\displaystyle \Delta y = v_{oy}t - \frac{1}{2}gt^2$

$\displaystyle -9.8 = 4.9t - 4.9t^2$

$\displaystyle -2 = t - t^2$

$\displaystyle t^2 - t - 2 = 0$

$\displaystyle (t - 2)(t+1) = 0$

$\displaystyle t = 2$ sec

as the bottle falls, the balloon stays directly over it ... both have the same horizontal velocity. therefore, horizontal displacement relative to the balloon is 0.  Tags distance, problem, vertical or horizontal Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post boubba_25 Kinematics and Dynamics 2 Apr 1st 2011 06:02 PM jrodd321 Kinematics and Dynamics 1 Oct 24th 2010 09:29 PM s3a Kinematics and Dynamics 2 Apr 26th 2009 12:34 AM angelica Kinematics and Dynamics 0 Feb 7th 2009 02:44 PM chino109 Kinematics and Dynamics 3 Jan 30th 2009 08:23 PM 