June 12th, 2019, 07:23 AM  #1 
Member Joined: Feb 2018 From: Iran Posts: 52 Thanks: 3  Projectile motion problem A man is standing on a railway car which moves at a constant velocity of 5m/s he releases an object in his hand from a height of 1.8m as shown in the figure at the same instant that man releases the object the railway car starts slowing down at a deceleration of 1m/s^2 at what horizontal distance from point L on the car does the object strike the car? 
June 12th, 2019, 07:39 AM  #2  
Member Joined: Feb 2018 From: Iran Posts: 52 Thanks: 3  Quote:
 
June 12th, 2019, 08:10 AM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
time it takes for the ball to fall to the level of point L ... $t = \sqrt{\dfrac{2h}{g}}$ horizontal displacement of the ball in that time ... $\Delta x_1 = 5t = 5\sqrt{\dfrac{2h}{g}}$ horizontal displacement of point L ... $\Delta x_2 = 5t  \dfrac{1}{2}t^2 = 5\sqrt{\dfrac{2h}{g}}  \dfrac{h}{g}$ difference in horizontal displacement ... $\Delta x_1  \Delta x_2 = 5\sqrt{\dfrac{2h}{g}}  \left(5\sqrt{\dfrac{2h}{g}}  \dfrac{h}{g}\right) = \dfrac{h}{g} \approx 0.18 \text{ m}$ ... the ball lands that distance to the right of point L 

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