Kinematics Question 338
Question: A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance $ s _{1} $ in the first 10 seconds and distance $ s _{2} $ in the next 10 seconds, then
Options:
A) $ s _{2}=s _{1} $
B) $ s _{2}=2s _{1} $
C) $ s _{2}=3s _{1} $
D) $ s _{2}=4s _{1} $
Show Answer
Answer:
Correct Answer: C
Solution:
Let a be the constant acceleration of the particle. Then
$ \text{s=ut+}\frac{1}{2}a{{t}^{2}} $ or
$ {{s} _{1}}\text{=0+}\frac{1}{2}\times\text{ a }\times{{( 10 )}^{2}}\text{=50 a} $
and $ {{s} _{2}}=[ \text{0+}\frac{1}{2}a{{( 20 )}^{2}} ]-\text{50a=150a} $
$ \therefore s _{2}=3s _{1} $
