NAME: Gabriel-Ohanu Emmanuel
PARTNER: Baptiste Gilman
TITLE: Graph Matching
PURPOSE: The purpose of the experiment was to analyze the motion of a student walking along a straight line in front of the motion detector moving back and forward with different speed trying to match the graph provided. To also understand and interpret graphs of distance vs time and velocity vs time. To also know what the slopes of the each graph represent which tells how far the student travelled, the speed and whether the motion of the student is accelerating or decelerating. THEORY:
The particle position X is the with respect to a chosen point that is considered as the origin of the coordinate system. The motion of a particle is completely known if the particle’s position in space is known at all times. s. The displacement Dx of a particle is defined as its change in position in some time interval. As the particle moves from an initial position xi to a final position xf , its displacement is given by Δx = xf - xi the difference between displacement and distance is important to note. Distance is it length of a path followed by a particle
The average speed Vavg of is a scalar quantity defined as the ratio total distance traveled to the total time interval required to travel that distance ≡
The average velocity Vx,avg of a particle is defined as the particle’s displacement Dx divided by the time interval Dt during which that
Displacement occurs:
≡
The instantaneous speed of a particle is defined as the magnitude of its instantaneous velocity. As with average speed, instantaneous speed has no direction associated with it.
The instantaneous velocity equals the limiting value of the ratio approaches zero. The instantaneous velocity can be positive, negative, or zero
Remembering that we see that or.
The equation tells us that the position of the particle is given by the sum of its original position