Question

A particle experiences a constant acceleration for $50$ second after starting from rest. If it travels a distance $s _{1}$ in first $25$ second and distance $s _{2}$ in the next $25\, \sec$, then :-

• A. $s_{1}=s_{2}$
• B. $s _{1}=\frac{ s _{2}}{3}$
• C. $s_{1}=\frac{s_{2}}{2}$
• D. $s_{1}=\frac{s_{2}}{4}$

Answer 1

Answer: (B)

$s_{1}=\frac{1}{2} a(25)^{2}$ and $s=\frac{1}{2} a(50)^{2}=4 s_{1}$
$\therefore s _{2}= s - s _{1}=3 s _{1}$