A cop gets a call indicating that a red sports car passed mile marker $3$ on a highway with a speed limit of $60m.p.$h$.$ Exactly five minutes later the car passes the cop, who is sitting at mile marker number $9.$ Even though the cop's radar indicates that the car is going the speed limit$,$ was the car speeding at any point between markers $3$ and $9?$

Yes, the car's average speed was $72$ m$.$p$.$h$.$

Yes, the car was going at least $90$ m$.$p$.$h$.$

No$.$ There is no way to prove the driver broke the speed limit$.$