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Question

Physics Question on speed and velocity

What will be ratio of speed in first two seconds to the speed in next 4s4\,s ?

A

2:1\sqrt{2}:1

B

3:13:1

C

2:12:1

D

1:21:2

Answer

2:12:1

Explanation

Solution

v= Distance  Time taken v=\frac{\text { Distance }}{\text { Time taken }} As shown in given figure v1v2=s0t1s0t2=s0t1×t2s0\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}} v1v2=42=21\frac{v_{1}}{v_{2}}=\frac{4}{2}=\frac{2}{1} Therefore, the ratio of speeds is v1:v2=2:1v_{1}: v_{2}=2: 1