Figure P4.26 is the position-versus-time graph for a collision between two carts on a low-friction track. Cart 1 has an inertia of \(1.0 \mathrm{~kg}\); cart 2 has an inertia of \(4.0 \mathrm{~kg}\).

(a) What are the initial and final velocities of each cart?

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

(c) Do the values you calculated in part \(b\) satisfy Eq. 4.1?

(d) Draw a velocity-versus-time graph for this collision.

(e) Does cart 1 have a nonzero acceleration? If so, when, and what is the sign of the acceleration? \((f)\) Does cart 2 have a nonzero acceleration? If so, when, and what is the sign of the acceleration?

Data from Figure P4.26

Data from Eq. 4.1

x (m) 0.6 cart 2 collision 0.4 cart 2 0.2 cart cart 1 0 t(s). -0.2