Acceleration a (in ms ^{-2} ) of a body, starting from rest varies with time t (in second) according

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2.Motion in Straight Line

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The acceleration $a$ (in $ms ^{-2}$ ) of a body, starting from rest varies with time $t$ (in second) according to the relation $a=3 t+4$. The velocity of the body starting from rest at time $t=2 s$ will be $........ms ^{-1}$

A$10$

B$12$

C$14$

D$16$

Solution

(c)
$d v=a d t$
or
$v=\int \limits_0^2(3 t+4) d t=14\,m / s$

Standard 11

Physics

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