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I need help for an easy Physics Question

I know everyone will think I'm dumb because I can't even answer this simple Physics Question, but can I still get some help as to how to answer it? Please, I would really appreciate it. Here is the question:

[b]If you drop a coin from a height of 9.5m, how fast will it be traveling when it reaches the ground?[/b]

Somehow on the answer sheet it says 13.7m/s, but I don't even know how to get this answer. Shouldn't you have to multiply gravity by the height to get the velocity? That equals -93.1m/s, but that can't be the right answer.

July 25, 2012

11 Comments • Newest first

Tabris

remember that it is possible to have negative answers (even though your answer is indeed incorrect); because the numbers are based on how you set up your coordinate system.

Reply July 25, 2012
qwertyxd

Assuming g=9.8m/s, and neglecting air resistance:
Delta y = uyt + 1/2ay(t^2) -> (9.5) = 0t + 1/2(9.8)(t^2) -> t = 1.39s
v = u + at -> v = (0) + (9.8)(1.39) -> v = 13.6m/s

EDIT: Just read the previous comments, UglierBetty has the best answer. I forgot about that formula. Also, noticed I wasted a couple mins typing this up.

Reply July 25, 2012 - edited
Spirit

Don't think you're dumb. Even the people above weren't 100% sure when they answered.

Reply July 25, 2012 - edited
UglierBetty

@darkwizard27: Mhm.

I just tend to stay away from equations like that because there are so many more versions of it.

Reply July 25, 2012 - edited
darkwizard27

[quote=UglierBetty]Mass cancels in a conservation of energy scenario.

And your method has more complicated algebra.[/quote]

Oops, forgot
It simplifies into the same equation as yours though, considering v_initial is 0.

Reply July 25, 2012 - edited
UglierBetty

[quote=darkwizard27]You can't use conversation of energy unless you know the mass of the coin. Use v_final^2 = v_initial^2 + 2gh instead.[/quote]

Mass cancels in a conservation of energy scenario.

And your method has more complicated algebra.

Reply July 25, 2012 - edited
darkwizard27

You can't use conversation of energy unless you know the mass of the coin. Use v_final^2 = v_initial^2 + 2gh instead.

Reply July 25, 2012 - edited
UglierBetty

@school239: No problem! And I like answering your questions on here!

I see you've learned about conservation of energy now? See how much easier it makes things?

Reply July 25, 2012 - edited
school239

[quote=UglierBetty]omg you and physics questions!

OT: 9.5(9.8)=(0.5)v^2

Solve for v[/quote]

Thanks a lot, I know my questions may seem annoying to you but as you can tell I'm uber dumb and I have no idea where else to find the answer since basil is such a nice community.

Reply July 25, 2012 - edited
Omegathorion

Don't think of gravity as gravity, think of gravity as acceleration. That'll clear up the minus sign.

Find out how long it takes for the coin to drop 9.5 meters. Then multiply that time by gravity to find the velocity.

Reply July 25, 2012 - edited
UglierBetty

omg you and physics questions!

OT: 9.5(9.8)=(0.5)v^2

Solve for v

Reply July 25, 2012 - edited