Question

What will be ratio of speed in first two seconds to the speed in next $4\,s$ ?

• A. $ \sqrt{2}:1 $
• B. $ 3:1 $
• C. $ 2:1 $
• D. $ 1:2 $

Answer 1

The Correct Option is C

$v=\frac{\text { Distance }}{\text { Time taken }}$ As shown in given figure $\frac{v_{1}}{v_{2}}=\frac{\frac{s_{0}}{t_{1}}}{\frac{s_{0}}{t_{2}}}=\frac{s_{0}}{t_{1}} \times \frac{t_{2}}{s_{0}}$ $\frac{v_{1}}{v_{2}}=\frac{4}{2}=\frac{2}{1}$ Therefore, the ratio of speeds is $v_{1}: v_{2}=2: 1$