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Question

# A body covers 200 cm in the first 2 seconds and 220 cm in the next 4 seconds. The velocity of the body at the end of the 7th second is

A
10 cm/s
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B
20 cm/s
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C
5 cm/s
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D
30 cm/s
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Solution

## The correct option is A 10 cm/sLet u and a be the initial velocity and uniform acceleration of the body. Using S=ut+12at2 ∴200=u(2)+12a(2)2 100=u+a ...(i) Also 420=6u+12a(6)2 70=u+3a ...(ii) Solving equations (i) and (ii), we get u=115 cm/s,a=−15 cm/s2 Using v=u+at ∴v=115+(−15)7=10 cm/s

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