Acceleration Learned the Hard Way

This past week, my family flew in from California and had a reunion in Kailua. I was supposed to watch my baby cousin for about ten minutes and he was playing on the coffee table in the living room. We were playing a game of sorts in which he would drop a very large toy car and I would catch it immediately. However, after about 3 minutes, I forgot to catch the car and it fell on my toe. It hurt and I may have taught my cousin a word for which he might get in trouble if he repeats. This got me thinking. Why would the car hurt after it fell on my toe but not when it fell on my hand when I caught it? I looked through my physics textbook and discovered that falling objects fall at 9.8 meters per second squared. Thus, it hurt more when it fell on my toe because it was airborne longer, meaning that it was going much faster when it hit my toe compared to when it hit my hand. I also figured out that velocity has a positive correlation with force, accounting for the pain felt when the car hit my toe.