Question

A body falling for 2 s, covers a distance equal to that covered in the next second. State whether true or false

• A. True
• B. False

Answer 1

The correct option is B False

Initial speed of the body $u=0$

Acceleration due to gravity $g=10m/s^2$

For $t=2s$ :

Distance covered in 2 s, $S_2=ut+\frac{1}{2}g{t}^2$

where $t=2s$

$\therefore$ $S_2=0+\frac{1}{2}\times 10\times 2^2=20m$

For $t=3s$ :

Distance covered in 3 s, $S_3=ut+\frac{1}{2}g{t}^2$

where $t=3s$

$\therefore$ $S_3=0+\frac{1}{2}\times 10\times 3^2=45m$

So, distance covered in 3rd second $S=S_3-S_2=45-20=25m$

Thus given statement is false.