Explanation:
Given from A to B and B to C, Vel:
Two show: t1/t2 = 2/3
Since acceleration is constant,
30-20/t1 = acc_1 = 10/t1
acc_2 = 45-30 / t2 = 15/t2
but, acc1 = acc2(Acceleration is constant)
So 15/t2 = 10/t1 => 2/3 = t1/t2 by cross multiplication.
Proved.
Given, total time from a to c: 50s
So A to C = > acc = 45-20/50 = 25/50 = 0.5m/s²
So A to B = > 0.5 = 10/t1
=> t = 20s
From B toC, Time = 50-20 = 30 s
To find, S from A to B.
We know S =avg. vel * time
avg vel from a to b = 30+20/2 = 25 m/s
So S = 25* 20 = 500 m = 0.5km.