Answer:
a) Impulse(J)=40.04 kg.m/s
b)F=2566.66 N
Explanation:
Given that

We know that impulse(J) impulse is a vector quantity

We know that P=mV
So
Now by putting the values
J=1.3(9.8-(-21))
So impulse(J)=40.04 kg.m/s
Force is given as

or we can say that

So 
F=2566.66 N
GPE = mgh
m = mass=500g = 0.5kg
h= height = 2m
g = gravitational field strength, 9.8 near surface of earth
therefore GPE = 0.5*9.8*2 ( 0.5*2=1 so they cancel out), GPE = 9.8J
Assuming the lines need to be straight, I'd go with a triangle (the lines can keep going to infinity too, that's fine). But that only has 3 intersections of 2 lines, if you need all 3 lines to intersect exactly 3 times and need to be straight, it can't be done, I don't think. However, you could lay each line on top of each other to have infinite intersection points, but that's probably not what they want.