Constant Acceleration

Question 1

Deriving v = u + at

Answer 1

Gradient of velocity-time graph (a) = (v-u)/t

v = u + at

Question 2

Deriving s = 1/2(v+u)t

Answer 2

Area under a velocity-time graph (trapezium)

Question 3

Deriving v^2 = u^2 + 2as

Answer 3

Rearrange for t = (v-u)/a

Substitute into s = 1/2(v+u)t

Question 4

Deriving s = ut + 1/2at^2

Answer 4

Substitute v = u + at into s = 1/2(v+u)t

Question 5

Deriving s = vt - 1/2at^2

Answer 5

Substitute u = v - at into s = 1/2(v+u)t

Question 6

Acceleration due to gravity

Answer 6

9.8 ms-2, give all answers to 2s.f.