The impulse is equal to the variation of momentum of the object:

where m is the mass object and

is the variation of velocity of the object.
The ball starts from rest so its initial velocity is zero:

. So we can rewrite the formula as

or

and since we know the impulse given to the ball (I=16 Ns) and its mass (m=2 kg), we can find the final velocity of the ball:
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The answer is always true a
To solve this problem we will apply the concepts related to the cinematic equations of angular motion. On these equations, angular acceleration is defined as the squared difference of angular velocity over twice the radial displacement. This is mathematically:

Our values are,



Replacing,


Therefore the angular acceleration is 