##### I need help with a physics homework problem

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A ball is rolling at 5.5 mls along a horizontal table top that is 1.4 m above the ground. The ball rolls off the edge of the table. (a) How far does the ball land from the edge of the table and how long does it take to fall the 1.4 m? (b) What is the ball's velocity when it hits the ground?

Sep 29th, 2015

Thank you for the opportunity to help you with your question!

If you choose downward direction as positive with origin at edge of table top

vox=vo=5.5m/s,  voy=0, ay=+g=9.8m/s

to find the time

y=voy*t + 1/2gt^2

1.4=0+1/2*9.8t^2 or t^2=1.4/4.9=0.28 s^2 or t=0.53 s

Horizontal distance

x=voxt=5.5 m/s * 0.53 s=2.94m

vy=voy + gt=gt=0.53 s *9.8 = 5.2 m/s

v=sqrt(vx^2+vy^2)=7.56 m/s

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 29th, 2015

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Sep 29th, 2015
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Sep 29th, 2015
Oct 20th, 2017
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