A \(2000-\mathrm{kg}\) truck is sitting at rest (in neutral) when it is rear-ended by a \(1000-\mathrm{kg}\) car going \(25 \mathrm{~m} / \mathrm{s}\). After the collision, the two vehicles stick together.

(a) What is the final speed of the car-truck combination? 

\((b)\) What is the kinetic energy of the two-vehicle system before the collision?

(c) What is the kinetic energy of the system after the collision?

(d) Based on the results of parts \(b\) and \(c\), what can you conclude about which type of collision this is?

(e) Calculate the coefficient of restitution for this collision. Is this the result you expect for \(e\) ?