Question

A body starting from rest with uniform acceleration travels distance $s_1$in the first $t$ second and travels a distance $s_2$with uniform velocity in the next $2t$ second. Then :

• A. $s_2=4s_1$
• B. $s_2=2s_1$
• C. $s_1=4s_1$
• D. $s_1=2s_2$

Answer 1

The correct option is A $s_2=4s_1$

For first part:
$u=0$
$\therefore a=\frac{v}{t}$
$\because s_1=\frac{1}{2}a{t}^2$
$\therefore s_1=\frac{1}{2}vt$

For second part:
$s_2=v\left(2t\right)$
$\therefore 4\times s_1=s_2$