In a football game, a 90 kg receiver leaps straight up in...

In a football game, a 90 kg receiver leaps straight up in the air to catch the $0.42 \mathrm{kg}$ ball the quarterback threw to him at a vigorous $21 \mathrm{m} / \mathrm{s},$ catching the ball at the highest point in his jump. Right after catching the ball, how fast is the receiver moving? Is he likely to notice this recoil?

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Key Concepts

Impulse

Impulse is defined as the change in momentum resulting from a force applied over a short period of time. It is useful for understanding how forces during collisions cause sudden changes in momentum, even if the overall observable motion of a much heavier object might be minimal.

Impact of Mass Difference

When a collision involves objects with a large disparity in mass, the momentum transferred from the lighter object often produces an almost negligible change in velocity in the heavier object. This is due to the larger mass (and thus greater inertia) resisting motion changes significantly.

Conservation of Momentum

This principle states that in an isolated system, the total momentum before an interaction must equal the total momentum after the interaction. It is particularly important in collision problems, regardless of whether the collision is elastic or inelastic, as it allows us to link the initial and final states of the system.

Inelastic Collision

An inelastic collision is one in which the colliding bodies stick together or otherwise do not conserve kinetic energy, even though momentum is still conserved. This concept is crucial when determining the final speed of objects that combine after impact.

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