# Motion Homework -- A particle moving along the x-axis....

## Homework Statement

The position function x(t) of a particle moving along an x axis is x = 6.00 - 7.00t2, with x in meters and t in seconds.

## Homework Equations

(a)[/B] At what time and
(b) where does the particle (momentarily) stop? At what
(c) negative time and
(d) positive time does the particle pass through the origin?

0= 6.00-7.00x^2
x=0.925

Mentor

## Homework Statement

The position function x(t) of a particle moving along an x axis is x = 6.00 - 7.00t2, with x in meters and t in seconds.

## Homework Equations

(a)[/B] At what time and
(b) where does the particle (momentarily) stop? At what
(c) negative time and
(d) positive time does the particle pass through the origin?

## The Attempt at a Solution

0= 6.00-7.00x^2
x=0.925
You have mixed up your variables. The equation is ##x = 6 - 7t^2##, so when the position x is 0, the equation becomes ##0 = 6 - 7t^2##. When you solve this equation, you get two values of t. One of them is positive and one is negative. These will be the answers to parts c and d.

For parts a and b, you need to calculate the velocity, v(t), and determine at what time(s) it is zero.