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A stone is dropped from the roof of a tall building. A person measures the speed of the stone to be 49 m/sec when it hits the ground. The height of the building is closest to: Select one: a. 24 meters. b. 49 meters. c. 122 meters. d. 245 meters.

Physics
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\[mgh = \frac{ 1 }{ 2 }mv ^{2}\]
you can subtract the mass from both sides which shows that everything falls at the same rate
you know what g is

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Other answers:

Gravity?
yes
so if you plug in the velovity and solve for h which is the height
is this for conservation of energy
No this is only for the height of the building
The formula I gave you is the conservation of energy
In this case \(g\) is the gravitational acceleration we talked about in the previous problem.
You cannot solve this with kinematics there are too many unknowns
What do you mean you can't solve it with kinematics?
Yeah I guess you could solve for time in the acceleration then plug it in the average velocity.
I was talking about the \(g\) in your formula.
??
Though technically speaking, depending on whether they are on the 'energy' part or the 'kinematic' part of the course decides which method they should use.
that is why I was asking
Last question was a 'kinematic' one so maybe it must be kinematics.
acceleration of gravity = velocity final minus velocity inital divided by time.
@omnomnom Have you talked about work or energy in your class yet?
Like potential energy or kinetic energy?
No whats work?
It is something you will learn in the future, most likely.
yes solve for time then plug into \[\frac{ d }{ t }=\frac{ v _{f}+v _{i} }{ 2 }\]
conservation is so much easier to solve
it confused me though the first equstion
equation*
Don't worry about it.
@omnomnom This is a two step problem. First you want to figure out how long it took to fall. Then you want to use that to figure out how far it fell.
oh okay so what equation do i use.... is is\[d =Vi( t)+ a \frac{ 1 }{ 2 }(t^2) \]
You can't use that equation until you find time though.
Oh yeah >.<
\[a=\frac{ v _{f}-v _{i} }{ t }\]
you know a and both velocities
But we need the time :( Cant i just quess the answer?
Yes, \(a\) is the same as last time... \(9.81m/s^2\)
velocity initial is 0
You are not supposed to guess, because there is already a way to find the answer.
but...... Whats the way ?
t=49/9.81
answer is 5
yes 5 seconds
then plug in the time into your equation and find x
oh hold on
i got 49 m/s
that is the velocity
so we change the equation now?
you want the height of the building
yeah
x=1/2t(vfinal-vinital)
122.5 meters?
yes
thank you :D
do you understand the kinematic equations
The first one ? NO the others Yes
http://www.physicsclassroom.com/
this is a helpfull tool
oh kay thank you :D

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