# 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.)

Apr 19, 2016

$125$ m

#### Explanation:

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

$g = 10 \frac{N}{k} g m = 10 \frac{k g m \cdot \left(\frac{m}{\sec} ^ 2\right)}{k g m} = 10 \frac{m}{\sec} ^ 2$

Distance traveled from rest after time $t$
$\textcolor{w h i t e}{\text{XXX}} d = \frac{1}{2} \cdot g \cdot {t}^{2}$

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

$\textcolor{w h i t e}{\text{XXX}} d = \frac{1}{2} \cdot 10 \frac{m}{\cancel{{\sec}^{2}}} \times \left(9 \cancel{{\sec}^{2}}\right)$
$\textcolor{w h i t e}{\text{XXXX}} = 45 m$

So the distance $\left\mid A B \right\mid = 9 \text{ graph units} = 45 m .$
color(white)("XXX")rarr 1" graph unit" = 5 m
and
the distance $\left\mid A C \right\mid = 25 \text{ graph units} = 25 \times 5 m = 125 m$