Explain "Momentum gives more information than velocity alone".

(N/A) Example $1$: If a pebble and a stone are thrown with the same velocity to hit a person,it is difficult to identify which causes more damage based solely on velocity. We can determine the impact force by studying the change in momentum $(p = mv)$. Velocity or mass individually are not sufficient to describe the effect of a collision.
By considering mass,we can conclude that the momentum of the stone is greater than that of the pebble; hence,the stone causes more damage.
Example $2$: Assume a car and a truck are stationary on a horizontal road. To accelerate them to the same velocity in the same time interval,the car requires less force,while the truck requires more force. Similarly,if they are moving at the same velocity,the car requires less retarding force to come to rest compared to the truck.
Thus,to determine the effect of force,momentum provides more comprehensive information than velocity alone.