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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.)

1 Answer

Apr 19, 2016

$125$ $125$ m

Explanation:

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

$g = 10 \frac{N}{k} g m = 10 \frac{k g m \cdot (\frac{m}{{sec}^{2}})}{k g m} = 10 \frac{m}{{sec}^{2}}$ $g=10 N/kgm =10(kgm*(m/sec^2))/(kgm) = 10 m/sec^2$

Distance traveled from rest after time $t$ $t$
$XXX d = \frac{1}{2} \cdot g \cdot t^{2}$ $color(white)("XXX")d=1/2*g*t^2$

Given time $t = 3 sec \to t^{2} = 9 {sec}^{2}$ $t=3 sec rarr t^2=9 sec^2$
and $g = 10 \frac{m}{{sec}^{2}}$ $g=10 m/sec^2$

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

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

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