6 ms·
v = dx/dt If you are driving 5 miles across town (dx), and you average 25 mph (v), it will take you roughly 5/25 hours, or 12 minutes (dt) to get there. By dr
by jschveibinz 5y ago
v = dx/dt
If you are driving 5 miles across town (dx), and you average 25 mph (v), it will take you roughly 5/25 hours, or 12 minutes (dt) to get there. By driving 50 miles per hour, you get there in 6 minutes. Is it worth the risk to yourself and others (bikers and pedestrians) to save 6 minutes?
If you are driving to work and it normally takes you 30 minutes to get there by going 60 mph (30 miles), then if you go 80 mph by frequently changing lanes and tailgating the guy in front of you you will save around 8 minutes getting to work.
dt = 30/60 = 30 min
dt = 30/80 = 22.5 min
Is it worth the risk to yourself and others to save 8 minutes?
Drive safely with the appreciation of v = dx/dt!
- antisthenes 5y agoAnd, by association, F = m*V^2 The risk of serious injury in an accident increases exponentially with speed. This is especially true for pedestrian victims.
- johndough 5y agoYou probably mean E = 1/2 m v^2 https://en.wikipedia.org/wiki/Kinetic_energy#Kinetic_energy_of_rigid_bodies https://en.wikipedia.org/wiki/Kinetic_energy#Kinetic_energy_...
- epgui 5y agoYou can harmlessly spread a lot of energy difference over a large enough time, or a large enough surface. The most relevant concepts are probably impulse [1] and inelastic collision [2]. [1] https://en.wikipedia.org/wiki/Impulse_(physics) https://en.wikipedia.org/wiki/Impulse_(physics) [2] https://en.wikipedia.org/wiki/Inelastic_collision https://en.wikipedia.org/wiki/Inelastic_collision
- antisthenes 5y agoAh, yes. The perils of making comments at 2 AM. I stand corrected.
- tomjen3 5y agoTime is one thing. Going fast is also just plain fun.
- DoingIsLearning 5y agoIt really is! But that is why we have track days. There really is no excuse for doing on a public road.
- OccamsRazr 5y agoDangerous driving will eventually introduce one to another familiar, but much more devastating, concept: a = dv /dt.
- dotancohen 5y agoWith an extremely small value for dt.
- walls 5y agoYou're saving 8 minutes both ways. That's seven days of your life back every year.
- oezi 5y agoYou seem to work too many days per year or have shorter days. With 220 work days and 16 wake hours I think you would lose less than 4 days.
- andi999 5y agoWork 100km. Driving 80km/h with little lane switching is 75 min. Going 150km/h also with little lane switching is 40min. Is saving 35 minutes worth it: absolutely.