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.fahadff said: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
Motion is the change in position of an object over time. It can be described by its direction, speed, and acceleration.
Motion can be measured using various units such as distance, time, speed, and acceleration. The most common unit of measurement for motion is meters per second (m/s).
A particle is a small object that has mass and occupies a specific position in space. In the context of motion, a particle can refer to a single point moving along a specific path.
Motion along the x-axis refers to the movement of an object in a horizontal direction, while motion in other directions involves movement in different planes or angles. In the context of particle motion, the x-axis is often used as a reference point to measure the position and distance of the particle.
Speed is a measure of how fast an object is moving, while velocity is a measure of both the speed and direction of an object's motion. In other words, velocity takes into account the direction of motion in addition to the speed. For example, a car traveling at 60 mph east has a velocity of 60 mph east, while a car traveling at 60 mph north has a velocity of 60 mph north.