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Q.

The velocity of a body moving in a straight line is given by V = (3x2+ x)m/s. Find acceleration at x = 2m.

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a

182 m/s2

b

172 m/s2

c

192 m/s2

d

162 m/s2

answer is A.

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Detailed Solution

v=3x2+x∴v(u=2)=14ms−2dvdt=6x⋅dxdt+dxdt=6×2×14+14=168+14=182ms−2
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The velocity of a body moving in a straight line is given by V = (3x2+ x)m/s. Find acceleration at x = 2m.