SUVAT EQUATIONS

Question 1

1. V =

And how to derive it

Answer 1

V = u + at

a = change in v / change in t
a = v-u/ t
at = v-u 
V = U + at

Question 2

2. S =

And derivation

Answer 2

S = 1/2(U+V)t

Area = displacement
Area= average v / t
Area(displacement) = (u+v/2)t
S = 1/2(U+V) t

Question 3

3. S =

And derivation

Answer 3

S = Ut + 1/2at^2

Add first into second
S = 1/2(u+v)t
S = 1/2( u+u+at)t
S= Ut+ 1/2at^2

Question 4

4. V^2 =

And derivation

Answer 4

V^2 = u^2 + 2as

Rearrange 1 to get t = v-u / a
Then substitute into 2
S = 1/2 (u+v)(v-u/a)
2as = (u+v)(v-u)
2as = v^2 - u^2
V^2 = u^2 + 2as