. A croquet mallet delivers an impulse of 8.83 N. s to a 0.5 kg croquet ball initially at rest. What is the speed of the ball immediately after being stuck

The speed of the ball immediately after being caught is 17.66

Explanation:

Moment is a measurement of mass in motion - how much mass is in how much motion.

On the other hand, momentum is a term that quantifies the general effect of a force acting over time. That is, the momentum exerted on a body is equal to the change in the body's momentum, this is known as the momentum-momentum theorem.

The impulse is the product between a force and the time during which it is applied. It is a vector magnitude:

I=F*Δt

The unit of momentum in the International System (S.I.) is the newton per second (N*s)

In practice it is difficult to estimate the variation of the force over time, so in many  cases it is required to define a constant average force that generates the same impulse at  particle than that given by when it acts during the time interval . Therefore, considering the average force for the same time interval , the impulse remains  defined as:

I = FmΔt

Where the force Fm is calculated as the product between the mass and the acceleration:

Fm = m * a

Being the acceleration the quotient between the variation of speed and time:

You get:

I = m*(Δv÷Δt)*Δt

Then:

I=m*Δv

In this case:

Replacing:

8.83 N*s= 0.5 kg*Δv

Solving:

Δv=

Δv=17.66

The speed of the ball immediately after being caught is 17.66