SOLUTION: the formula v=√ 2gh gives the velocity v,i feet per second,of an object when it falls h feet accelerated by gravity g, in feet per second squared.if g, is approximately 32 f

Algebra ->  Graphs -> SOLUTION: the formula v=√ 2gh gives the velocity v,i feet per second,of an object when it falls h feet accelerated by gravity g, in feet per second squared.if g, is approximately 32 f      Log On


   



Question 1061428: the formula v=√ 2gh gives the velocity v,i feet per second,of an object when it falls h feet accelerated by gravity g, in feet per second squared.if g, is approximately 32 feet per second squared, find how far an object has fallen if its velocity is 80 feet per second.
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
the formula v=√ 2gh gives the velocity v,i feet per second,of an object when it falls h feet accelerated by
gravity g, in feet per second squared.if g, is approximately 32 feet per second squared, find how far an object
has fallen if its velocity is 80 feet per second.
~~~~~~~~~~~~~~~~~~~~~~~

Simply substitute the given g = 32 ft/m^2 and v = 80 ft/s into the equation.
You will get

80 = sqrt%282%2A32%2Ah%29.


It is the same as 

80 = sqrt%2864%2Ah%29,   or

80 = 8%2Asqrt%28h%29,  or

sqrt%28h%29 = 10.


You need to find the unknown "h" from this equation.


For it, square both sides. You will get

h = 100.


Answer. The body has fallen 100 ft.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+v+=+sqrt%28+2%2Ag%2Ah+%29+
+v+=+80+ ft/sec
+g+=+32+ ft/sec2
----------------------
+80+=+sqrt%28+2%2A32%2Ah+%29+
square both sides
+6400+=+2%2A32%2Ah+
+64h+=+6400+
+h+=+100+
the object has fallen 100 ft