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Q.

The displacement of a body along x-axis depends on time asx=t+1 .  Then the velocity of body after 2 sec. in metre/sec is

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a

6

b

4

c

2

d

0

answer is A.

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Detailed Solution

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x=t+1
Squaring both sides, we get,
x=(t+1)2=t2+2t+1
Differentiating it w.r.t. time t, we get,
dxdt=2t+2
Velocity, u = dxdt=2t+2= 4 + 2 = 6.

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The displacement of a body along x-axis depends on time asx=t+1 .  Then the velocity of body after 2 sec. in metre/sec is