A accelerates uniformly from it initial velocity, u, the final velocity, v in time t. The distance traveled during this time is S. If the acceleration...

      

A accelerates uniformly from it initial velocity, u, the final velocity, v in time t. The distance
traveled during this time is S. If the acceleration is denoted by the letter, a show that;
(i) V = u + at
(ii) S = ut + at2
(iii) V2 = u2 + as

  

Answers


Davis
i) Acceleration a is rate of change of velocity
a = v - u
t
V = U + at

ii)Distance is average velocity * time
S = ((v + u)/2)t;
Substitution for V with u + at;
S = ut + ½ at2

iii)Using t = (v – u)/a; in s = ut – ½ at^2
s = u (v-u)/2 + ½ a ((v-u)^2)/2
= V^2 = u^2 ÷ 2 as

Githiari answered the question on September 19, 2017 at 06:42


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