Ch7 Acceleration

Question 1

DEFINE acceleration

Answer 1

Rate of change of velocity with respect to time

Question 2

What is the FORMULA for average acceleration?

Answer 2

(v - u) / t

Question 3

PROVE v = u + at

Answer 3

a = v - u / t
at = v - u
v = u + at

Question 4

PROVE s = ut + ½at²

Answer 4

average velocity = v + u / 2
And displacement / time
s = average velocity × time

s = (v + u / 2) × (t)
[v = u + at]
(2u + at / 2) × (t)
-> u + ½at × t
-> ut +½at²

∴ s = ut + ½at²

Question 5

PROVE v² = u² + 2as

Answer 5

v = u + at
v² = (u + at)²
v² = u² + 2uat + a²t²
= u² + 2a(ut + ½at²)
[ut + ½at²]
-> u² + 2as

∴ v² = u² + 2as