Interesting Physics Rehash
Context: braking (e.g. in a vehicle)
Revisited:
- Braking time increases linearly with velocity; t = v/a.
- Braking _distance_ increases with the square of the velocity
- d = v*t - ½*a*t²
- substituting t=v/a, d = v*v/a - ½*a*v²/a²
- d = v^2/a - ½*v²/a
- d = ½*v²/a
- assuming a is a constant, d ~ v²
will said,
March 31, 2005 @ 11:54am
good to know. All the more reason to brake early for a turn . . . unless you’re intentionally ramming into the rear the car in front before a turn to regain valuable time while keeping your car on course and knocking the other off in the meantime. But only in video games, of course.
marg said,
April 6, 2005 @ 9:54pm
minor brain cramp from reading this entry.
braking wastes gas. gas too expensive to waste.