Answer:
The position function is
.
Explanation:
Given that,
Acceleration 
Initial velocity 
Initial displacement 
We know that,
The acceleration is the rate of change of velocity of the particle.

The velocity is the rate of change of position of the particle

We need to calculate the the position
The acceleration is



On integration both side


At t = 0


Now, On integration again both side


At t = 0



Hence, The position function is
.
A) position time graph for both is shown
here one of the graph is of lesser slope which means it is moving with less speed while other have larger slope which shows larger speed
At one point they intersects which is the point where they both will meet
B) Let the two will meet after time "t"
now we can say that
if they both will meet after time "t"
then the total distance moved by you and other person will be same as the distance between you and home
so it is given as



so they will meet after t = 6 min
so from position time graph we can see that two will meet after t = 6 min where at this position two graphs will intersect
Answer:
The ratio is 
Explanation:
The diagram for this question is shown on the first uploaded image
Here we are assume the acceleration of the train is a
which makes the acceleration of each car a
From the question we are told that
Considering the second car
The force causing it s movement is mathematically represented as

Considering the first car
The force causing it s movement is mathematically represented as

=> 
=> 
=> 
=> 