- Home
- Standard 11
- Physics
2.Motion in Straight Line
medium
The acceleration $a$ in $m / s ^2$, of a particle is given by $a=3 t^2+2 t+2$, where $t$ is the time. If the particle starts out with a velocity $v=2 m / s$ at $t=0$, then the velocity at the end of $2\,s$ is $............m/s$
A$12$
B$14$
C$16$
D$18$
Solution
(d)
$d v=a d t$
$\therefore \int \limits_2^v d v=\int \limits_0^2\left(3 t^2+2 t+2\right) d t$
$\text { or } v=18\,m / s$
$d v=a d t$
$\therefore \int \limits_2^v d v=\int \limits_0^2\left(3 t^2+2 t+2\right) d t$
$\text { or } v=18\,m / s$
Standard 11
Physics
