Question

v = u + at ..........( formula)
multiply by t
therefore,
$v \times t = t(u + at) \\ s = ut + at ^{2} ........(v = \frac{s}{t} )$
but
$s = ut + \frac{1}{2} at ^{2}$
how...

​

Answer 1

Answer:

(2) Second equation of motion:

s = ut + 1/2 at^2

sol.

Let the distance travelled by the body be “s”.

We know that

Distance = Average velocity X Time

Also, Average velocity = (u+v)/2

.: Distance (t) = (u+v)/2 X t …….eq.(1)

Again we know that:

v = u + at

substituting this value of “v” in eq.(2), we get

s = (u+u+at)/2 x t

=>s = (2u+at)/2 X t

=>s = (2ut+at^2)/2

=>s = 2ut/2 + at^2/2

or s = ut +1/2 at^2

This is the 2nd equation of motion.