The bumper boats at your local theme park each have an inertia of \(90 \mathrm{~kg}\). In boat 1 are a man of unknown inertia, a \(45-\mathrm{kg}\) woman, and a \(3.0 \mathrm{~kg}\) dog. In boat 2 are an \(80-\mathrm{kg}\) father, a \(50-\mathrm{kg}\) mother, and a \(30-\mathrm{kg}\) son. Boat 1 collides at \(1.5 \mathrm{~m} / \mathrm{s}\) with boat 2 , which is initially at rest. Two seconds after the collision, boat 2 has moved \(2.3 \mathrm{~m}\) and boat 1 has moved \(0.26 \mathrm{~m}\) in the opposite direction.

(a) Taking the initial direction of motion of boat 1 as positive, what is the velocity of each boat after the collision?

(b) What is the change in velocity of each boat?

(c) What is the man's inertia?

(d) If the collision took \(0.50 \mathrm{~s}\), what was each boat's average acceleration during the collision?