What x vs. t Graphs Can Tell You To describe the motion of a particle along a st

Question

What x vs. t Graphs Can Tell You 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 z on the vertical axis. Then, indicate the values of z at various times t. Mathematically, this corresponds to plotting the variable z 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. tgraph like this does not represent the path of the particle in space. Figure 1 of 1 x (m) 40 30 t (s) o 10 20 30 40 50 O Type or speak to me No Part E Ex Su Part C What i Expres

Explanation / Answer

a)

here

total distance travelled by the particle is

delta x = x - x0

delta x = 40 - 10

delta x = 30 m

b)

the average velocity is

Vav = delta x / delta t

Vav = 30 / 50

Vav = 0.6 m/s

c)

distance increases linearly with time therefore the the instantaneous velocity of the particle is constant over the entire time interval of motion

so the velocity is = 0.6m/s

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