To describe the motion of a particle along a straight line, it is often convenie
ID: 2166531 • Letter: T
Question
To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which time t is plotted on the horizontal axis and position x on the vertical axis. Then, indicate the values of x at various times t. Mathematically, this corresponds to plotting the variable x as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown below. Note that an x vs. t graph like this does not represent the path of the particle in space.
To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which time t is plotted on the horizontal axis and position x on the vertical axis. Then, indicate the values of x at various times t. Mathematically, this corresponds to plotting the variable x as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown below. Note that an x vs. t graph like this does not represent the path of the particle in space. What is the total distance Deltax traveled by the particle? Which of the graphs shown is the correct v vs. t plot for the motion described in the previous parts?Explanation / Answer
a)Total distance=40-10=30m
b)Average velocity=30/50=0.6m/s
c)Since the x-t curve is a straight line, the average velocity is also the instantaneous velocity at any point.
v=0.6m/s
d) Graph D is correct.
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