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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/s
Let 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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