It is better to live without credit debt--basically I agree with your dad, because most people have a really hard time keeping it under control. But there may be times when you want to have a credit card. Look at the offer you are getting. If it offers an APR that is low (10% would be good) you might consider it. But if you decide to apply you should also commit to yourself that you won't use it instead of money.
You should also be aware that based on your credit history or lack thereof the card you are issued will probably not have a $5000 limit but maybe $2000 and they may even give you a different APR than the one offered in the ad. Check it all out carefully and if the APR is not the one they tried to lure you in with, make sure to request that they change it when you get the card. If you are not satisfied with the terms they end up offering you, cancel your account before you use it for anything.