Question

The distance traveled by 5 identical particle is given below in the options A, B, C, D and E respectively at specific time interval. Which object could be in free fall, neglecting air resistance?

• A. $1m,4m,9m,16m,25m$
• B. $2m,2m,4m4m,6m$
• C. $2m,4m,6m,8m,10m$
• D. $6m,11m,15m,18m,20m$
• E. $4m,9m,15m,22m,29m$

Answer 1

The correct option is A $1m,4m,9m,16m,25m$

Let initial speed of the object to be zero i.e $u=0$ m/s

Acceleration due to free fall $a=g=10$ $m/s^2$

Using $S=ut+\frac{1}{2}a{t}^2$

$\therefore$ $S=0+\frac{1}{2}\times 10t^2=5t^2$ $⟹S\propto t^2$

Thus option A represents the distance traveled by object in free fall.