Answer:
a) 
b) 
Explanation:
Given:
- mass of the ball thrown up,

- initial velocity of the ball thrown up,

- height above the ground from where the ball is thrown up,

a)
Maximum height attained by the ball above the roof level can be given by the equation of motion.
As,

where:
final velocity at the top height of the upward motion 
acceleration due to gravity
height of the ball above the roof
Now,


Therefore total height above the ground:



b)
Now we find the time taken in raching the height
:

final velocity at the top of the motion 
So,


Now the time taken in coming down to the ground from the top height:

where:
is the initial velocity of the ball in course of coming down to ground from the top 
Here the direction acceleration due to gravity is same as that of motion so we are taking them positively.


Therefore the total time taken in by the ball to hit the ground after it begins its motion:



Velocity is a vector, which includes both magnitude and direction. Negative velocity means that B is travelling in an opposite direction of A.
The basis for Rutherford's Planetary model, was the results he got from experiments.
He observed that most of the alpha particles he fired at a gold foil, passed through the foil, but only few were deflected back. So he concluded that most of the Atom would be empty space, with a positive entity at the center.
F= Force
M=Mass
A= acceleration
F=N
Mass= in grams or kilo grams (mostly kg)
A= m/s