Alright, so the problem I'm working on is basically as such:(adsbygoogle = window.adsbygoogle || []).push({});

An object with an initial Velocity of 95m/s slides horizontally, constantly losing velocity. After traveling 8 km it comes to a stop.

How long did the object take to travel 8 km.

So here's how I went at it:

δx = v_{0}+ .5at^2

δx+v_{0}= .5(δv/t)t^2

2(δx+v_{0}) = v(t^2)/t

2(δx+v_{0})/δv = (t^2)/t

2(δx+v_{0})/δv = t

Then I plugged in:

δx = 8000m

v_{0}= 95m/s

δv = -95m/s

Which returned t = -170.421s (Which I thought was odd to begin with, as how can one have a negative value for time.)

But I tried plugging that into my initial equation to see that it all worked out but instead of getting δx = 8000m I got δx = 8190m

So obviously there is a flaw in my logic SOMEWHERE. I just don't know where.

Help please!?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Time to decelerate over a given distance

**Physics Forums | Science Articles, Homework Help, Discussion**