Final answer:
Use the command 'ntp server [IP address]' to configure a router to synchronize its time with an NTP server. Replace '[IP address]' with the actual IP address of your internal authoritative NTP server.
Step-by-step explanation:
To synchronize the time on a router with an internal authoritative NTP server, you would use the Network Time Protocol (NTP) configuration command on the router. Assuming that the internal NTP server has a specific IP address that you've been given, the proper command to configure the router to use this NTP server would be ntp server [IP address], where [IP address] is the actual IP address of the NTP server.
For example, if the IP address of the NTP server is 192.168.1.1, you would enter the following command in the router's configuration mode:
ntp server 192.168.1.1
This command tells the router to synchronize its clock with the NTP server located at the specified IP address. For best practices, it is recommended to configure more than one NTP server for redundancy. That way, if one server becomes unreachable, the router can still maintain accurate time with the help of another NTP server.