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2.Motion in Straight Line
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An electron starting from rest has a velocity that increases linearly with the time that is $v = kt,$ where $k = 2m/{\sec ^2}$. The distance travelled in the first $3 \,seconds$ will be...........$m$
A
$9$
B
$16$
C
$27$
D
$36$
Solution
(a)$S = \int_0^3 {v\;dt} = \int_0^3 {kt\;dt} = \left[ {\frac{1}{2}k{t^2}} \right]_0^3 = \frac{1}{2} \times 2 \times 9 = 9\,m$
Standard 11
Physics
