Question

Show that S=ut+1/2 at square for uniform accelerated motion by any method​

Answer 1

Answer:

Explanation:

we know that

s=(u+v)/2*t

=(u+u+at)/2*t

=2u+at/2*t

=2ut+at²/2

=2ut/2+at²/2

=ut+1/2at²

thanx

Answer 2

Given:

The equation  s = ut + 1/2 at²

To find:

Prove the given equation of motion.

Calculation:

- Let a body is moving with an initial velocity of u m/s.

Then it is accelerated with Uniform Acceleration of 'a' m/s² for a time of t seconds.

Let it cover a Distance of s metre and reaches a Final velocity of v m/s.

- By applying the first equation of motion, we have:

v = u + at

- Average velocity = (u+v)/2

- Distnce = Velocity × Time

⇒ s = {(u+v)/2} × t

⇒ s = {(u+u+at)/2} × t

⇒ s = {(2u+at)/2} × t

⇒ s = (u + at/2) × t

⇒ s = ut + 1/2 at²

- Hence proved that s = ut + 1/2 at².