Question

which of the folling measures the distance travelled by a uniformly accelerated body in time t?
a] [v-u]t
_____
a



b] [v+u]t
____
a


c] 2v
___
a^2

d] 2[v^2-u^2]

Answer 1

a ) (v + u) t
_____
a^2

Answer 2

This question seems to be incomplete. you can see correct question from attached document.

By using first linear motion equation,

   $V = U + at\\ a = (V-U)/t---- (1)$

Then we can substitute above result into a another linear motion equation to get the answer.

$V^{2} = U^{2} + 2aS\\ S = (V^{2} - U^{2})/ 2a\\ S =  (V^{2} - U^{2})/ 2[(V-U)/t]$

$S = (V-U)*(V+U)*t/[2(V-U)]\\ S = (V+U)t/2$

Answer : S= (V+U)t/2