It attains to the point of B in 3 seconds,if a body falls freely from rest at the point of A. Find distance between the two points A and C ? ( use g=10 N/kg,ignore drag and assume that drawing is scaled.)

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1 Answer
Apr 19, 2016

#125# m

Explanation:

I counted #9# graph units between A and B
and #25# graph units between A and C.

#g=10 N/kgm =10(kgm*(m/sec^2))/(kgm) = 10 m/sec^2#

Distance traveled from rest after time #t#
#color(white)("XXX")d=1/2*g*t^2#

Given time #t=3 sec rarr t^2=9 sec^2#
and #g=10 m/sec^2#

#color(white)("XXX")d=1/2*10 m/cancel(sec^2)xx(9cancel(sec^2))#
#color(white)("XXXX")=45 m#

So the distance #abs(AB)=9" graph units" = 45 m.#
#color(white)("XXX")rarr 1" graph unit" = 5 m#
and
the distance #abs(AC)=25" graph units" = 25xx5 m = 125 m#