Use the solutions in Problem 29 to explain the outcome of each of the following collisions:

(a) A moving truck colliding with a bike initially at rest.

(b) A bike colliding with a stationary truck.

(c) A bike colliding with an identical stationary bike.

Data from Problem 29

An object of inertia \(m_{1}\) moving at \(v_{1 i}\) collides elastically with an object of inertia \(m_{2}\) initially at rest. Show that the following solution for the final velocities of the two objects after the collision conserves momentum and kinetic energy:

Vif V2f 'm-m m + m 2m m m