Question

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.)

Answer 1

`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`