An object starts from rest and accelerates at a rate of 2 rad/s^2 until it reaches an angular speed of 24 rad/s. The object then accelerates at a rate of -3 rad/s2 until it stops. Through what angular displacement (in rad) does the object move between when it starts moving and when it stops?

Total angular displacement will be 240 radian

Explanation:

In first case object starts from rest so initial angular speed

Angular acceleration is given

Final angular speed

From third equation of motion

So

radian

Now in second case as the objects finally stops

So final velocity

Angular acceleration

So

radian

So total angular displacement will be 96+144 = 240 radian

the answer is b i think