Initial velocity of a particle is u (at t = 0 ) and acceleration {n^{th}} is given by at . Which of

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2.Motion in Straight Line

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The initial velocity of a particle is $u$ (at $t = 0$) and the acceleration ${n^{th}}$ is given by $at$. Which of the following relation is valid

A

$v = u + a{t^2}$

B

$v = u + a\frac{{{t^2}}}{2}$

C

$v = u + at$

D

$v = u$

Solution

(b) If acceleration is variable (depends on time) then

$v = u + \int {(f)} \;dt$ $ = u + \int {(a\;t)} \;dt$ $ = u + \frac{{a\;{t^2}}}{2}$

Standard 11

Physics

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