Question

the initial velocity of a particle is u ta t=0, and the acceleration is given by f=at.which of the following relation is valid
a)v=u+at2
b)v=u+at2/2
c)v=u=at
d)v=u

Answer 1

b?

Answer 2

yes it is but how...??????????

Answer 3

because the initial velocity is o and the the velocity is only depends on multyple of acc and time...in b there 2/2=1; hence v=u+at;u=0

Answer 4

listen here the b) v=u+at^2/2

Answer 5

sorry,, i couldnt see that..

Answer 6

its ok

Answer 7

\[acceleration=dv/dt=(at)=given\]
\[\implies dv=(at)dt\]
\[\int\limits_{u}^{v(final)}dv=\int\limits_{0}^{t(final)}(at)dt\]
\[v(final)=u+at ^{2}/2\]