A LEARJET HAS A CONFLICT WITH A C172 AFTER TKOF AT TUP RWY 36.

Narrative

TUPELO TWR CLRED US FOR TKOF ON RWY 36. A C172 HAD BEEN PREVIOUSLY CLRED FOR A TOUCH AND GO. HE WAS ON HIS UPWIND LEG AND WAS TOLD TO MAKE L TFC. ON OUR TKOF ROLL; I NOTICED THE C172 HAD NOT BEGUN HIS L TURN AND HAD DRIFTED A CONSIDERABLE DISTANCE TO THE E OR R OF THE RWY CTRLINE. OUR PRETKOF BRIEFING MENTIONED TO KEEP AN EYE ON THE C172 AND WERE PLANNING TO DEPART BEHIND THE C172 BY MAKING A SLIGHT R TURN TO CLR. AT THE POINT OF ROTATION; I STILL NOTICED HE HAD NOT BEGUN HIS L TFC PATTERN; AND THE WIND; BEING OUT OF THE NW HAD CONTINUED HIS DRIFT E TO A POINT WHERE I DIDN'T THINK WE WOULD CLR BEHIND HIM. UPON GEAR RETRACTION; WE MADE AN IMMEDIATE L TURN TO AVOID A POTENTIAL CONFLICT. DURING OUR TURN AND NOSE HIGH ATTITUDE IN THE LEARJET; THE C172 WAS OUT OF SIGHT FOR THE TURN. WE TURNED TO ABOUT 300 DEGS AFTER DEPARTING RWY 36. THIS GAVE US CLRNC BUT A LITTLE CLOSER THAN I WOULD HAVE LIKED; SINCE HE ALSO FINALLY TURNED L WHILE WE WERE IN OUR TURN. THINGS I FELT SHOULD HAVE BEEN DONE ARE: 1) TUPELO TWR HOLDING US UNTIL THE C172 WAS IN A L TURN; 2) C172 HOLDING THE EXTENDED CTRLINE APPLYING THE PROPER DRIFT CORRECTION; 3) US DELAYING THE TKOF FOR I ASSUMED THE C172 WOULD HAVE STAYED ON THE EXTENDED CTRLINE.