Narrative:

We were level at 11000 ft. Center advised us of an aircraft Y B737 that was at our 2 O'clock position, 5 mi, level at 10000 ft. We had both visual and on TCASII. Center also notified aircraft Y crew of our position. They acknowledged visual contact. The controller asked them if they could maintain visual climb with us, they said yes. They were cleared to climb to a higher altitude than ours. The first officer and myself then saw him start climbing in front of us about 2 mi from us. Our TCASII went into a 'climb, climb now' RA giving us a 3000+ ft climb. I proceeded with full power to that climb rate. TCASII then stated increase rate of climb, so I proceeded to climb at 4500 ft until our speed started getting too slow, so I turned right of course. The aircraft Y plane I saw in TCASII getting close to 100 ft when TCASII showed us clear of conflict. We leveled off at 15000 ft. Notified ATC of our RA response.

Google
 

Original NASA ASRS Text

Title: ACR RECEIVES TCASII RA THAT CALLS FOR CLB BEYOND THE CAPABILITY OF THE ACFT, AFTER ATC GIVES VISUAL CLB TO 2 ACFT WITH VISUAL CONTACT.

Narrative: WE WERE LEVEL AT 11000 FT. CTR ADVISED US OF AN ACFT Y B737 THAT WAS AT OUR 2 O'CLOCK POS, 5 MI, LEVEL AT 10000 FT. WE HAD BOTH VISUAL AND ON TCASII. CTR ALSO NOTIFIED ACFT Y CREW OF OUR POS. THEY ACKNOWLEDGED VISUAL CONTACT. THE CTLR ASKED THEM IF THEY COULD MAINTAIN VISUAL CLB WITH US, THEY SAID YES. THEY WERE CLRED TO CLB TO A HIGHER ALT THAN OURS. THE FO AND MYSELF THEN SAW HIM START CLBING IN FRONT OF US ABOUT 2 MI FROM US. OUR TCASII WENT INTO A 'CLB, CLB NOW' RA GIVING US A 3000+ FT CLB. I PROCEEDED WITH FULL PWR TO THAT CLB RATE. TCASII THEN STATED INCREASE RATE OF CLB, SO I PROCEEDED TO CLB AT 4500 FT UNTIL OUR SPD STARTED GETTING TOO SLOW, SO I TURNED R OF COURSE. THE ACFT Y PLANE I SAW IN TCASII GETTING CLOSE TO 100 FT WHEN TCASII SHOWED US CLR OF CONFLICT. WE LEVELED OFF AT 15000 FT. NOTIFIED ATC OF OUR RA RESPONSE.

Data retrieved from NASA's ASRS site as of July 2007 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.