The relationship between the impulse and the amount of momentum allows to find the correct result is:
The impulse is the product of the applied force by the time interval and is related to the variation of the amount of movement.
I= ∫ F dt = Δp = m v_f – m v₀
where the bold are vectors, I is the impulse, F the applied force, t the time, p the momentum, m the mass, and v the velocity of the body.
When the body stops, its speed is zero, and the speed with which it hits the foam bed depends on the height of the body.
For a person to be injured, the force must be of a magnitude that exceeds the breaking point of the bones, one way to reduce this force is to increase the impact time, this is the function of the foam rubber bed.
Since as the impulse is constant because it depends only on the speed when the time increases the average force must decrease, they avoid injuries to the acrobat.
In conclusion using the relationship between impulse and momentum we can find the correct result is:
Learn more about the impulse here: brainly.com/question/15001790