What x vs. t Graphs Can Tell You 1 of 13 Constants I Periodic Table Te averaye veiocily UI a par LICIE Delween two PUSILIONNS IS Equai lo LIe SIope UI Ne e CONNecliIy tne iwU COITEspuINUINy puiLTS m an ai v5. i yrapT. 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 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 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. Part C What is the instantaneous velocity v of the particle at t 10.0 s? Express your answer in meters per second. View Available Hint(s) Hint 1. Graphical interpretation of instantaneous velocity The velocity of a particle at any given instant of time or at any point in its path is called instantaneous velocity. In an vs. t graph of the particle's motion, you can determine the instantaneous velocity of the particle at any point in the curve. The instantaneous velocity at any point is equal to the slope of the line tangent to the curve at that point. Figure 1 of 1 V ΑΣφ ? x (m) 40 m/s 30 Previous Answers Request Answer Submit Incorrect; Try Again; 5 attempts remaining t(s) 50 10 10 20 Another common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In 40 30 20 10

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How do you find instantaneous velocity? Delta X = 30m Vav=0.6 m/s t=10.0s 

What x vs. t Graphs Can Tell You
1 of 13
Constants I Periodic Table
Te averaye veiocily UI a par LICIE Delween two PUSILIONNS IS Equai lo LIe SIope UI Ne e CONNecliIy tne iwU COITEspuINUINy puiLTS m an ai v5. i yrapT.
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 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 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.
Part C
What is the instantaneous velocity v of the particle at t
10.0 s?
Express your answer in meters per second.
View Available Hint(s)
Hint 1. Graphical interpretation of instantaneous velocity
The velocity of a particle at any given instant of time or at any point in its path is called instantaneous velocity. In an vs. t graph of the particle's
motion, you can determine the instantaneous velocity of the particle at any point in the curve. The instantaneous velocity at any point is equal to the
slope of the line tangent to the curve at that point.
Figure
1 of 1
V ΑΣφ
?
x (m)
40
m/s
30
Previous Answers Request Answer
Submit
Incorrect; Try Again; 5 attempts remaining
t(s)
50
10
10
20
Another common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In
this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In
40
30
20
10
Transcribed Image Text:What x vs. t Graphs Can Tell You 1 of 13 Constants I Periodic Table Te averaye veiocily UI a par LICIE Delween two PUSILIONNS IS Equai lo LIe SIope UI Ne e CONNecliIy tne iwU COITEspuINUINy puiLTS m an ai v5. i yrapT. 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 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 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. Part C What is the instantaneous velocity v of the particle at t 10.0 s? Express your answer in meters per second. View Available Hint(s) Hint 1. Graphical interpretation of instantaneous velocity The velocity of a particle at any given instant of time or at any point in its path is called instantaneous velocity. In an vs. t graph of the particle's motion, you can determine the instantaneous velocity of the particle at any point in the curve. The instantaneous velocity at any point is equal to the slope of the line tangent to the curve at that point. Figure 1 of 1 V ΑΣφ ? x (m) 40 m/s 30 Previous Answers Request Answer Submit Incorrect; Try Again; 5 attempts remaining t(s) 50 10 10 20 Another common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In 40 30 20 10
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