Question

Derive the equations
(i) v = u + at
(ii) S = ut + 12at2​

Answer 1

Answer:

Equations of motion:-

1. ${v}^{2} - {u}^{2} = 2at$
2. $v = u + at$
3. $s = ut + 1 \div 2 \: {at}^{2}$

Hope it helps you.

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Answer 2

Explanation:

a=v-u/t

at=v-u

v=u+at.........(1)

the 1st eqn is proved

Now , s denotes displacement

And Displacement = u+v/2 × time or t

Now,

S =u+v/2 × t

S = u+ (u +at )/2 × t { from eqn 1 we put the value

of v }

s=2u+at/2 × t

s=2ut + at^2 / 2

s= ut + 1/2 *at^2