Can an Object Have Negative Position and Positive Velocity?

[star223]

ok I am in 9th grade and I am taking honors physics. were not very far into it, juss like simple motion u kno? I've tried to take in a lot at once recently bc I've been sick, so i went and read ch. 3-5 in my book...well there's sections i can't find again and stuff and i need help with the following problem:
Show mathematically that an object can have a negative position but a positive velocity.
I had this idea that it can go to like the left at 45 m/s or something...but I am not sure :P help!

 

[star223]

omg there's like 3 more too...IM SOOOO CONFUSED!

 

[Gokul43201]

First draw a picture. Show the position axis with the origin. Mark a spot where the object can be for it to have a negative position. Now use an arrow to represent the velocity vector. How must this arrow point for the velocity to be positive ?

In the future, post this in the Homework Help section.

(would someone move this ?)

 

[star223]

oh like to the right it just has to start froma negative position rite?

 

[tony873004]

position = original position + velocity * time

There's no reason that position or original position can't be negative. They're not under a squre root symbol. Given enough time, position will cross 0 and become positive. And position is just a relative thing anyway. A car traveling east and is 1 mile west of mile marker 2 could be said to have a position of -1 mile relative to mile marker 2, or +1 mile relative to mile marker 0.

But I don't know how to express that mathematically.

 

[star223]

im not sure if it means an equation or a graph or what...omg I am gona get an F :(

 

[Gokul43201]

oh like to the right it just has to start froma negative position rite?

That's right.

Consider x(t=0s) = -10m (this is a negative position)
and x(t=1s) = -5m (also negative)

The v = (x1-x0)/t = ?

 

[star223]

Okay wait.. v=(x1-xo)/t =?
v=(-10+5)/1s ?
v=-5m/s? is that rite?

 

[star223]

YES! I GOT IT!...okay it juss kinda clicked lol...but i have a small question...okay here's the problem:
A stunt car is driven along a flat train car. The stunt car is moving toward the engine of the trani. how would you calculate the velocity of the stunt car relative to Earth?
I put. . .'You would find the velocity of the ____ then the velocity of the stunt car. Then subtract using V2-V1...' Do i find the velocity of the train? And if it is the train, then is that V2?

 

[tony873004]

YES! I GOT IT!...okay it juss kinda clicked lol...but i have a small question...okay here's the problem:
A stunt car is driven along a flat train car. The stunt car is moving toward the engine of the trani. how would you calculate the velocity of the stunt car relative to Earth?
I put. . .'You would find the velocity of the ____ then the velocity of the stunt car. Then subtract using V2-V1...' Do i find the velocity of the train? And if it is the train, then is that V2?

Some trains have more than one engine. Assuming that it meant that the car is moving towards the front of the train, you would add the train's velocity to the car's velocity.