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Q.

The initial velocity of a body moving along a straight line is 8 u. It has a uniform acceleration of 6 m/s². The distance covered by the body in the 6th second of its motion is 41 m. The value of u is

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a

16 m/s

b

12 m/s

c

8 m/s

d

1 m/s

answer is D.

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Detailed Solution

Given,

Initial velocity, u=8 u
a=6m/s²
Time, n=6
s= 41 m

The distance covered by the body in nth-sec is given by

$S_{n} = u + \frac{a}{2} (2 n - 1)$
$S_{6} = 41 = 8 u + \frac{6}{2} (2 x 6 - 1)$
$S_{6} = 41 = 8 u + (11 x 3)$
$41 - 33 = 8 u$
$8 u = 8$

u= 1 m/s

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The initial velocity of a body moving along a straight line is 8 u. It has a uniform acceleration of 6 m/s2. The distance covered by the body in the 6th second of its motion is 41 m. The value of u is