Two drivers, alison and kevin, are participating in a race. beginning from a standing start, they each proceed with a constant acceleration. alison covers the last one ninth of the distance in 5 seconds, whereas kevin covers the last one fifth of the distance in 9 seconds. who wins and by how much time?

Alison by 5.1 seconds

Step-by-step explanation: a → cte

Alison 1/9 in 5 sec

Kevin 1/5 in 9 sec

Lenght of the race = x

Alison: x/9 in 5 sec

Kevin: x/5 in 5 sec

They began from the same point: Si = 0

They were not moving when it started: Vi = 0

S = at²/2

Alison: x/9 = a1.5²/2 → a1 = 2x/225

Kevin: x/5 = a2.9²/2 → a2 = 2x/405

Considering the whole distance

Alison: x = a1.t²/2 → x = 2x.t²/225.2 → t² = 225 → t = 15

Kevin: x = a2.t²/2 → x = 2x.t²/405.2 → t² = 405 → t = 20,1

20,1 - 15 = 5,1 s

what is the information provided?

step-by-step explanation: