The equation of motion of a particle is s = t3 − 12t, where s is in meters and t is in seconds. (Assume t ≥ 0.) (a) Find the velocity and acceleration as functions of t.

V = 3t² - 12 (velocity as function of t)

a = 6t (acceleration as function of t)

Explanation:

The distance covered by an object is given as a function of time :

s = t³ - 12t

where,

s = distance

t = time

Since, velocity is given as:

V = ds/dt

V = d/dt(t³ - 12t)

Applying derivative:

V = 3t² - 12 (velocity as function of t)

Since, acceleration is given as:

a = dV/dt

a = d/dt(3t² - 12)

Applying derivative:

a = 6t (acceleration as function of t)

a. is the answer because they are not shared

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!