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nburgher
HELP PLEASE!!!!!!!!!! If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.
use h=ut -1/2 *g*t^2 here u =64ft/sec and g =32 ft/sec^2 for finding when it reaches ground for h plug -25 ft
so its not \[s=-16t ^{2}+v _{0}t+s _{0}\]
what does the \[v _{0} s _{0} \] mean
its v0*t here V0 is initaial velocity and here it is 64 ft/s
so the equation would be S=-16t^2+64(1)+25
yup but with t S=-16t^2+64(t)+25
ok so if I want to find out how high the rock is after 10 sec I would plug it in like this S=-16(10)^2+64(10)+25
also to clear it up the subscript 0 is usually prenounced "knot" and it's basically the starting point of any physics problem, and then you number them 1,2,3,etc there on. You could essentially call it v1 but your next point would be v2. s in physics is used for displacement aka distance, so in your case s0 means the initial height before being thrown
If you have to take physics eventually you split everything into two components the y direction and x direction so you get something like this \[s_{y}=\frac{1}{2}at^2+v_{0y}t+s_{0y}\] which would be your problem since throwing an object vertically only has distance in the y direction
Post such questions in physics group.. also refer to: http://openstudy.com/code-of-conduct
This is a math related subject. as you can solve it through derivatives and calculus. And I find it very annoying of you trying to pretend like a moderator. Let them do their job. Posting a question that is off topic for a particular group (i.e. posting a physics question in the Mathematics group)---- This is solely any type of physics that isn't related to mathematics such as asking quantum physic/fluid dynamics in a group other than physics. This however is math because it's using a quadratic equation involving t (time). Not only that but Calculus is used to solve this also. For example so that you can quit citing the CoC everytime you see displacement problems \[a=-32ft/sec\] \[\int a dt=\int =-32dt=-32t+c=v(t) \] \[v(0)=64 ft/sec\] \[64=-32(0)+c\] \[64=c\] \[-32t+64=v(t)\] \[\int vdt=s(t)=\int (-32t+64) dt=-16t^2+64t+c\] \[s(0)=25\] \[25=-16(0)+64(0)+c\] \[25=c\] \[s(t)=-16t^2+64t+25\]
Please remember that calculus, one of the more predominant mathematics and the building block of much of the other fields was founded by a certain physicist that used it in much of his work =]