If you can take a video, you can use that video to measure speeds and accelerations. The tool involved is called "video analysis software" and there are free versions that seem to work pretty well. After looking at a few, I have comments on a smaller few:
1. Tracker: My favorite so far. It is free, computer-based, open-source and looks transparent and
powerful, for example:
- Fixed or time-varying coordinate system scale, origin and tilt.
- Multiple calibration options: tape, stick, calibration points and/or offset origin.
- Switch easily to center of mass and other reference frames.
- Protractors and tape measures provide easy distance and angle measurements.
- Define custom variables for plotting and analysis.
http://www.cabrillo.edu/~dbrown/tracker/
http://www.cabrillo.edu/~dbrown/tracker/help/frameset.html
2. Kinovea: a free, open-source sports analysis software with some
good analysis tool including video magnification, slo-mo, data export to
spreadsheets. The output looks
beautiful
http://www.kinovea.org/
3. Vernier Physics: a $5 app for iPhone & iPad. Vernier is
popular and looks
convenient for people who already use iPhones. But it requires you to:
1. not move the camera and
2. mark each frame manually.
3. You can't export
your info to a spreadsheet.
http://www.vernier.com/products/software/video-physics/
Update(Jan'15)-Destin from Smarter Every Day shows how to analyse a grasshopper using
Tracker. If that was a little fast, watch his
tutorial. (Destin has linked all you need in the "show more" box of the first video. When I tried repeating his work, the windows version of Tracker wouldn't work on every computer but the ".jar" file did. On some computers Destin's You-tube video (step #3) worked. On others, only Quicktime worked. Try stuff.