Equations Of Motion

Question 1

Equation 1

Answer 1

V = u + at

Question 2

Equation 2

Answer 2

S = t(u+v)/2

Question 3

Equation 3

Answer 3

S = ut + (at^2)/2

Question 4

Equation 4

Answer 4

V^2 = u^2 + 2as

Question 5

Deriving equation 1

Answer 5

a = (v-u)/t

Question 6

Deriving equation 2

Answer 6

(u+v)/2
displacement = average velocity x time taken
s= t(u+v)/2

Question 7

Deriving equation 3

Answer 7

V = u+ at 
S = t(u + v)/2 
Sub v from equation 1 
S = t(2u + at)/2
S = 2ut/2 + at^2/2 
S = ut + at^2/2

Question 8

Deriving equation 4

Answer 8

V = u+ at 
S = t(u+v)/2
Sub for t from equation 1
S= (u+v)/2 x (v-u)/a 
2as=(u+v)(v-u) 
=v^2 -u^2 
V^2= u^2 + 2as