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

Question

What x vs. t Graphs Can Tell You To describe the motion of a partide along a straight line, itis often convenient to draw a graph representing the position of the perticle at ditferent times. This type of graph is usually reformed to as an x vs. tgraph. To draw such a graph. etom in which time is plotted horizontal ade and position z on the vertical axis. Then, indicate the values of ar at various times t. Mathematically, this abla function of sponds to plotting the example of a graph of position as a function of time for a particle traveling along 8 straight line is shown below Note that an x v8.tgrapi is does no represent the path of the particle in space 30 20 t (s 10 20 30 40 50 Part C What is the instantaneous velocity v of the particle at t 10,0 s? Express your answer in meters per second. Submit Hints MyAnswmra Give Up Review Part Incorrect, Try Again; 2 attempts remaining Another common graphical representation of motion along a straight line the v vs. f graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time s plotted on the horizontal axis and velocity on the vertical axis, Nole thal by definition, velocity and 8coeleration are veclor quan es. In straight-ine motion, however, these vectors have only one nonzero component in the direction of motion Thus, in this problem, we will call v the velocity and a the acceleration. even though they are really the components of the velocity and acceleration vectors in he direct art D Which of the graphs aha plot for the described he previous parts (m/s) 0.8 0,6 06 0,4 0.2 01 10 20 30 40 50 0 20 30 40 50 ,(m/s) t,(ms) 08 0.6 04 0.2 0 20 30 40 50 of 0 20 30 40 50 Graph A

Explanation / Answer

Instantaneous velocity at a point is given by slope of the x-t curve at that point.

Here x-t graph is a straight line where slope at every point is same with slope= (40-10)/(50-0)= 0.6 m/s

part C) at t=10 s, v=0.6 m/s

part D) Here velocity at every point is same. So, graph A is correct v-t plot.

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