Hi, I would very much appreciate it, if your help me answer these questions with step by step explanation. As soon as possible. Please and thank you.

Questions:

1. The position function of an object moving horizontally along a straight line as a function of time is s(t)=8t³ - 4t², in meters, at time, t, in seconds. Determine the acceleration of the object at t = 4 s.
2. Determine the equation of the line that is tangent to g(x)= x³ - 3x + 1 at (2, 3). Write answer in the form y = mx + b.
3. The decay of a certain substance is modeled by the function N(t)= 100(3+e^-t/3), where the number of particles is represented by N in a time of t hours.

a) What is the initial number of particles?

b) Determine the rate of change in the number of particles at time t.

c) How fast is the number of particles changing when t = 3 hours?