sprinting
my only strength is sprinting.
what gear to use when jumping - if being led out (or sitting behind unwitting leadout riders), shift up one or two gears, i.e. instead of the 15T, use the 14T or 13T. Roadies are power sprinters and use their power to muscle the gear.
sprinting - once you start your sprint, you can shift any time you like. well, if your bike is in shape and you have your levers lower than a climber would. I regularly shift both up and down leading up to and in the actual sprint. Shifting under full gas is totally possible - just try it on your own before you unleash your secret weapon in a group.
A long time ago I read that a human body can sprint (max effort) for 40 pedal revolutions. But, in the long trainer sessions watching race tapes, I counted the revs the sprints did while in the wind. I found most of them did about 8-10 revs in the wind in the Tour stages I checked. The exception was the final stage when they inevitably went about 20 revs. I try and limit my sprints to 20 revs. if at a new race venue, I'll ride backwards from the finish in the gear I think I might use for 20 revs, find a landmark, and try and be in good position at that landmark.
my favorite recommendation for a jump/sprint workout is to find a slight (1-5%) downhill followed by a flat section the length you require for a sprint (say 200m). use the downhill as your "leadout" and jump as hard as possible at your start point (on the flat). try doing this in a cross/tail wind and keep track of your max speeds.
in the workout above, alternate gears - high and low. try say 53x13 and 53x16. it helps learn the difference between "pushing" and "spinning".
the best sprint workouts I ever got was a Tues night sprint ride at a local university on a 2 mile (3 km) loop (SUNY Purchase for those in the NYC area). approx 50-150 riders of all levels (up to Cat 1, national team riders) would show up for 2-3 hours. approx 1km-long committed leadouts (started by a 200 meter slight downhill followed by an undulated 800-1000 meters) by numerous leadout riders meant the leadout would typically hit 55-60 kph on a slow day and 65+ kph on a fast day. the top speeds I observed were typically 70-75 kph on the 200m slight downgrade to the line. 15-20 sprints really cooked your legs and I learned a lot of tactics and techniques on sprinting by doing that. I learned that if you have the power, you can jump really hard even if you're going really fast already.
I personally enjoy (but can only enjoy infrequently) sprinting with cars in city traffic. pick a loop that has all one-way traffic (or median'ed roads so there is no one driving towards you). I have a favorite 2 mile loop and the speed limit is 30 mph (50 kph) which means drivers go 35-40 mph (60-67 kph). this is perfect for motorpacing up to my jump point, 200 meters from a nice crosswalk. my sprint speed varies wildly with traffic and wind - it may be as low as 55 kph and as high as 80 kph (well, on one day). doing this workout with friends is more consistent since they're on bikes and it's easier to hold their wheels. but doing it alone is fine. trucks are a rare treat so they receive the most magnetic drafting attention possible. when I worked in NYC going up and down the large Avenues was a real treat. synchronized lights, some semblence of awareness of cyclists, and everyone driving 55 kph or so.
btw I'm a lowly Cat 3 (1 being national level and 5 being beginner) and although I can sprint reasonably well, there are a lot of guys who sprint better than I do. I mention the speeds because in Cat 3 races, although they may average 40-45 kph for an hour, typically contain short bursts at 65 kph to bridge to a break, attacks at up to 70 kph, and generally things are going fast only after we're going over 50 kph. I've been led out on relatively large group rides and once jumped super early because the guy leading out the sprint (a Cat 1 or 2) was "only" going 37 mph (60+ kph). I jumped past him, sat up when I had a big gap, and didn't contest when one guy caught me at the "line". the leadout guy told me I could have won if I'd waited. I pointed out I was more concerned with the positioning and the jump and that he was going too slow and I was getting swamped. "But I was going 37 mph". "Exactly.. too slow!". We laughed. I told him if he'd been holding 40 mph, I would have felt comfortable waiting.
hm now I want to do a nice night ride on my fave 2 mile city loop!